solve each system of equation by elimination
{y=-x+1
{y= 4x-14

Answers

Answer 1

Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

Multiply everything by -1:                    -y = -4x + 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Combine equations:                    0 = -5x + 15Isolate x term:                               -15 = -5xIsolate x:                                       3 = xRewrite:                                        x = 3

Step 5: Check

Define equation:                    y = -x + 1Substitute in x:                       y = -3 + 1Add:                                        y = -2

Related Questions

Let z = 1(cos(pi/12)+isin(pi/12)) and w=7 (cos(pi/22)+isin (pi/12)) what is zw

Answers

Answer:

D

Step-by-step explanation:

Answer:

IT'S BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

edge2021 ;)

Find the value of the variables

Answers

Answer:

x=2

y=7

Step-by-step explanation:

Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:

9 = y+2

and

2y = 7x

Using algebra we can solve the first equation:

9 = y+2

9-2 = y

7 = y

Now we can use substitution:

2y = 7x

2(7)=7x

14=7x

x=2

6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!

Answers

Answer: 6 (z+13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

10-z=6

We move all terms to the left:

10-z-(6)=0

We add all the numbers together, and all the variables

-1z+4=0

We move all terms containing z to the left, all other terms to the right

-z=-4

z=-4/-1

z=+4

Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.499 and increases $0.09, what is the price of gasoline after the increase?
(to the nearest thousandth of a dollar)

Answers

$3.58 hope this helps!

What is the value of |5-a| if a = 9?

Answers

Answer: 4

Step-by-step explanation: once you sub in 9 for a, you'll get -4. However, the absolute value of -4 is 4.

What is the perimeter of the quadrilateral if the two triangles are congruent using SSS

Answers

Answer:

20 units (I used units because that's what i was taught when there isn't a specific unit)

Step-by-step explanation:

If the triangles are congruent, that means that everything is congruent/the same. So what we do is, we set both equations equal to each other.

6x - 3 = 4x + 9

And now we simplify.

6x - 3 = 4x + 9

-4x         -4x

--------------------

2x - 3 = 9

    +3     +3

-------------------

2x = 12

÷2      ÷2

---------------

x = 6

To find the perimeter, just multiply 6 by 4 since there's four sides. 6 x 4 = 20

Select all the groups of numbers that are ordered correctly from least to greatest.
A, 2,−4,6,−8
B, −13,−16,12,1
C,−110,0.2,310,14
D,−112,−0.75,−0.25,112
E,−8,−34,−3,14

Answers

Answer:

C

Step-by-step explanation:

D. -112, -0.75, -0.25, 112

9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.

Answers

[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:

Step-by-step explanation:

a)

x= gourmet pretzels

y= boxes of strawberries

system will be:

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]

b)

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]

a box of strawberries is 6.5

Put in order from least to greatest: (I WILL GIVE BRAINLIEST)
-15.2, -15.9, 3.6, -3.6


-15.9, -15.2, -3.6, 3.6


2.03, -2.3, -2.03, 3.0

Answers

The third one is the correct order!!

HELP ASAP
suppose the fee is 7.5% of the selling price. determine the total cost of the game(fee included) original cost of the game is $76.
show your work

Answers

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

HELPPPPPPP ITS VERY URGENT!!!!!!

Answers

Answer:

The measure of the 2 angles are 90° and 35°.

Step-by-step explanation:

The sum of angles in a triangle is 180°.

2x + x - 10 + 55 = 180

Simplify.

3x + 45 = 180

Find 3x.

3x = 180 - 45

    = 135

Find x.

x = 135 ÷ 3

x = 45

2x° = 45° × 2

     = 90°

(x-10)° = 45° - 10°

          = 35°

Answer: x=45

Step-by-step explanation:

2 times 45 is equal to 90

45-10 is equal to 35

55+90+35=180

A straight line is drawn and divided into two angles. One angle is 75°. What is the measurement of the unknown angle?

Answers

Answer:

105

Step-by-step explanation:

straight line would be 180 degrees

subtract 180-75=105 ^_^

Please help if possible due in 20 minutes ❤️❤️❤️❤️ thank you so much

Answers

Answer:

A

Step-by-step explanation:

The town A is symmetric the town B i skrewed positevly

I hope I helped and have a a great dayyyy

Answer:

(D)

Step-by-step explanation:

The answer is (D).

Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup hold?

Answers

Answer:

Equivalent measurements: teaspoon, ounce, pint, pound

You will find a table of equivalent measurements in the back of many cookbooks:

1 tablespoon = 3 teaspoons  

      1 cup = 16 tablespoon = 8 ounces  

    1/4 cup = 4 tablespoons  

    1/3 cup = 5 tablespoons plus 1 teaspoon  

     1 pint = 2 cups = 16 ounces  

    1 quart = 4 cups (2 pints) = 32 ounces  

   1 gallon = 4 quarts

    1 pound = 16 ounces

  1/2 pound = 8 ounces

  1/4 pound = 4 ounces

Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.

Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:

Measurement    1/2 Measurement

1/8 teaspoon   just a dash

1 tablespoon   1 1/2 teaspoons

1/4 cup        2 tablespoons

1/3 cup        2 tablespoons + 2 teaspoons

3/4 cup        6 tablespoons

Step-by-step explanation:

Line see crosses through both A and B creating angles d through k. If m

Answers

Answer:

they are parallel lines with a crossing line creating a 90 degree angle

The line A and line B are parallel to each other and line C is perpendicular to both line A nd B.

What is converse of consecutive interior angle theorem ?

As a result of the converse of consecutive interior angle theorem, two parallel lines are formed whenever a transversal intersects two lines so that two consecutive interior angles are supplementary.

Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side is known as corresponding angle.

Here, the angle ∠d and angle ∠h are corresponding angles and there measurement is 90 degrees which implies that the line A and line B parallel to each other and line C is perpendicular to both line A nd B.

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George is driving his car. At the end of 2 hours he has driven 94 miles, and at the end of 4 hours he has driven 238 miles. What is the average rate of change? Type your numerical answer below.

Answers

47 miles

Step-by-step explanation:

since 2 hours is 94 miles and 4 hours is 238 miles, you can take the 94 and divide by 2 to get how many miles for 1 hour.

The average rate of change will be;

⇒ 72 miles per hour

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

George is driving his car. At the end of 2 hours he has driven 94 miles, and at the end of 4 hours he has driven 238 miles.

Now,

Since, We know that;

⇒ Speed = Distance / Time

Hence, We can formulate;

⇒ The average rate of change = (238 - 94) / (4 - 2)

                                                = 144 / 2

                                                = 72

Thus, The average rate of change will be;

⇒ 72 miles per hour

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The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?

Answers

Answer:

70%

Step-by-step explanation:

which is the slowest rate? a. 2,983 km in 5 hr
b. 5,193 km in 7 hr
c. 3,094 km in 12 hr
d. 1,784 km in 3 hr

Answers

Answer:

C. 3,094 km in 12 hr

Step-by-step explanation:

we need to find kilometer per 1 hour so

2983/5=596.6 kilometers per hour

5,193/7= 741.857142857 km per hour

3,094/12=257.833333333 km per hour

1,784/3=594.666666667 km per hour

now which number is lowest

third one

Have a wonderful day! ask me if you have more questions

Find volumeof right circular cone having base radius 14cm and slant height 14.8cm.​

Answers

Answer:

The cone has a volume of approximately 982.5 cubic centimetres.

* That answer sounds off to me, but I'm not sure.  You might want to run through the logic yourself and see if you get the same results.

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and base radius. In other words:

[tex]v = \pi r^{2} \frac{h}{3}[/tex]

But before using that, we need to know the value of h, height.  What we are instead given is the slant height, or the length from tip to edge.

We can use that slant height along with the base radius to get the cone height, as the three of them are the edges of a right triangle, with slant height being the hypotenuse.

To get the height then we can say

[tex]h = \sqrt{s^{2} - r^{2}}[/tex]

Where h is height, s is slant, and r is radius.

[tex]h = \sqrt{14.8^{2} - 14^{2} }[/tex]

[tex]h = \sqrt{219.04 - 196}[/tex]

[tex]h = \sqrt{23.04}[/tex]

[tex]h = 4.8[/tex]

A very squat cone indeed.

Now we can plug that and the radius into the actual cone equation:

[tex]v = \pi (14cm)^{2} \frac{4.8cm}{3}\\= \pi 196cm^2 * 1.6cm\\\approx 985.2 cm^3[/tex]

I need help on 22 pls

Answers

Answer:

a) 1.24 g/ml

b) 2.4%

Step-by-step explanation:

density = mass/volume

volume of sample = 28.4 - 15 = 13.4mL

density = 13.4/10.8

=1.24 g/ml

percent error

1.27 - 1.24 = 0.03

0.03/1.24 *100% = 2.4% error

Find the inverse of the function f(x)=x^3 +4

Answers

Answer:

Step-by-step explanation:

switch the x and f(x) values

x=y^3+4

subtract4

x-4=y^3

cube root

cube root(x-4)=y

What does x equal?

-3(x - 2) + x = -2x - 6

Answers

Answer:

No solutions

Step-by-step explanation:

-3(x - 2) + x = -2x - 6

Distribute the left side

-3x + 6 + x = -2x - 6

Combine like terms

-2x + 6 = -2x - 6

Add 2x to both sides

6 = -6

There are no solutions to this problem

select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
X to the 6th power -x/4y
A.
1,023/4
B.
1,023
C.
1,025/4
D.
16,385/4

Answers

The required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
when x = -4 and y = 4.

Expression = x⁶ - x/4y
Put x = -4 and y = 4.
= (-4)⁶ - [-4 /(4×4)]
= 4096 + 1/4
= 16385/4

Thus, the required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

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The number of students in a classroom went from 20 to 29 find the percent of the Change

Answers

Answer:

45%

Step-by-step explanation:

calculator

Please help

Simplify the expression by combining like terms

Answers

Collect like terms
5a + a , 1+3
Calculate
Reorder terms
Final answer :
7a2 + 6a + 4

Answer:

[tex] \sf \: {7a}^{2} + 6a + 4 [/tex]

Step-by-step explanation:

Given expression,

→ 1 + 5a + 7a² + a + 3

Let's simplify the expression,

→ 1 + 5a + 7a² + a + 3

→ (7a²) + (5a + a) + (1 + 3)

→ (7a²) + (6a) + (4)

→ 7a² + 6a + 4

Hence, answer is 7a² + 6a + 4.

What is the image point of (1, 2) after a translation right 5 units and up 3 units?

Answers

Therefore the image point of (1, 2) is (6, 5)

Given point is (1, 2) considered as (x, y)

We know that in the coordinate axis horizontal line represents the x-axis and the vertical line represents the y-axis.

In that, a point that moves right means it goes positive x-axis.

If the point moves left means it goes negative x-axis.

If the point moves up means it goes positive y-axis.

If the point moves down means it goes negative y-axis.

By using the above points we can solve this question as

Given we need to find the image point of (1, 2) after a translation right 5 units and up 3 units.

Now the point on the x-axis changes to 5 units right as

= x + 5

= 1 + 5

= 6

Now the point on the y-axis changes to 3 units up as

= y + 3

= 2 + 3

= 5

Therefore the image point of (1, 2) is (6, 5).

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write x≤58 in interval notation.

Answers

The x ≤ 58 in interval notation = (-∞, 58]

In this question, we have been given an inequality  x ≤ 58

We need to write given inequality in interval notation form.

We know that, an interval notation a way to describe a subset of real numbers by the numbers that bound them.

If we draw given inequality on the number line, then it would be as shown below.

x ≤ 58 represents that, x takes all values which are less than or equal to 58.

So, the interval notation would be (-∞, 58]

Therefore, the x ≤ 58 in interval notation = (-∞, 58]

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What is the direction of the vector = ?

Answers

Answer:

The most general convention is that the orientation of a vector is the angle of rotation in the counterclockwise direction of the vector with respect to the East.

Step-by-step explanation:

Answer:

its a smg

Step-by-step explanation:

its a man made tool

all you need is in the photo ​

Answers

Answer:

You could just ask a tutor to help you with it on Brainly.com

Step-by-step explanation:

multiples of 5 less than 40​

Answers

Answer: 5, 10, 15, 20, 25, 30, & 35

Answer:

35,30,25,20,15,

Step-by-step explanation:

BRAAINLIEST PLS

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