how do you find the fist step to solving the system of equations x+y=8 and 3x-2y=-6

Answers

Answer 1

Answer:

The first stpe in solving this system of equations is finding either X or Y in terms of the other variable. Ex: x = 8 - y or y = 8 - x

Step-by-step explanation:

When faced with a system of equations problem, you need to find one variable at a time. To do this, you need to eliminate one of the variables from one of the equations. I used x + y = 8 because that was simplier to find one of the variables from. From there, you can substitute that in for the variabel in the secone equation.

3x - 2y = -6

3x - 2(8 - x) = -6

3x - 16 + 2x = -6

5x - 16 = -6

5x = 10

x = 2

Than you can use that and plug it back into one of the original equations to find the other variable.

x + y = 8

2 + y = 8

y = 6


Related Questions

Which of the following is not true about a square? It has no right angles. All its sides are of equal lengths. It has opposite parallel sides. It can be classified as a rectangle.

Answers

Answer:

A) It has no right angles.

Step-by-step explanation:

That is the only false answer because all angles of a square are right angles (90°).

Answer:

it has no right angles

Step-by-step explanation:

I NEED HELP FAST ITS FOR A TEST (no links pls)
Part A: Explain why x = 6 makes 5x − 6 ≤ 24 true but not 5x − 6 < 24. (5 points)

Part B: What value from the set {5, 6, 7, 8, 9} makes the equation 6x + 4 = 34 true? Show your work.

Answers

Answer:

I dont know about A but the answer for B is below

Step-by-step explanation:

6x + 4 = 34 = (6x5) + 4 = 34

Answer:

Seem you are doing the same test I did! Module 7 part 2?

Anyway!

Part A: If we work through the equation 5x - 6 and substitute 6 for x then we have (5*6) - 6 = 30 - 6  = 24.

Therefore, 5x − 6 ≤ 24 is true since it means that it is equal to or less than 24.

And 5x − 6 < 24 is wrong since the equation equals 24 and is not less than 24.

Part B:

6x + 4 = 34

6x5 = 30

30+4=34

To verify: (6*5) + 4 = 34. The answer is five.

Hope this helps! Brainliest please!

The table shows how much Noah earns each day. About how much money did Noah earn altogether? Use the table and rounding to choose the estimate.



$15 to $16


$11 to $12


$13 to $14


$17 to $18

Answers

Answer:$13 to $14

Step-by-step explanation:

4.17= 4

3.19=3

2.86=3

3.75=4

Add them all up and you get 14.

Solve the actual equation to check your work

(Btw it equals 13.77 if you don't estimate)

The answer is $13-$14 because when estimating you should round up Wednesday to 3 and Thursday to 4. But the others should just round to the number before the decimal.

Part A.Maggie is making a necklace using 14 inch string and identical beads. Maggie has placed 12 beads next to each other starting at the left end of the string as shown in the figure. The 12 beads fill 3 inches of the string. How many total beads will completely fill the 13 inch string?
Part.BAfter filling the string from end to end, Maggie decides to leave one inch at each end of the string with no beads. How many beads does she need to remove from the beads she used to completely fill the string?

Answers

Part a: 52 beads I think
12/3=4
4*13=52

Part b: 8 beads
Every inch is 4 beads.
4*2=8

Answer:

a)  56 beads

b)  8 beads

Step-by-step explanation:

12 beads take 3 inches so yes 12/3 =4 per inch

but then the necklace is 14 in long so 4 *14=56 beads

if you take off one ince per side you would take of 4 beads per side so 4*2=8 beads

Please help needed its due soon

Answers

Answer: D


Explanation: to find the volume of the cone you would have to use the formula:

1/3* pi* r^2* h
If the dimensions are to be plugged in the formula would then be

1/3* 3.14* 4^2 * 12

Therefor the volume of the cone is 201.06 in^3

Moving on to the cylinder, the formula used would be

V=Bh

To find B the formula used would be

B= pi* r^2

Plugged in the formula would turn unto

B= 3.14* 3^2

The volume of the cylinder is 226.19

When subtracted, the area if the cylinder is about 25 cubic inches less than the cone, so the answer is D.

Answer the question below

Answers

D is your answer because 10.6 rounded is 11 & the other options are below 11 so your highest is D

Answer:

10.6 ounces

Step-by-step explanation:

Find the constant of proportionality k in the equation y=27x

Answers

Answer: k=27

Step-by-step explanation:

y=kx


K on this equation is 27.

Which dot plot shows most of the values clustered around 2, 3 and 7, 8, 9?


W.
X.

Y.
Z.
A.
Z
B.
W
C.
Y
D.
X

Answers

Answer:

w plot shows most of the values clustered around 2,3 and 7,8,9.

Can anyone solve this?

Answers

first we can cover the box, 5x5

25

then the triangles, 5 x 7 = 35, divided by 2. is 17.5

Since there are 4 triangles, we would take 17.5 x 4 which would be 70, then add that to the original 25.

95in is the answer.

Someone Please help me

Answers

Answer:

So I did this in the beginning of my seventh grade year.

Step-by-step explanation

center is natural numbers

then whole numbers

then integers

then rational numbers on the outside

does this help?

Calories Used While Swimming for 30 Minutes
Type of Stroke
56-kg woman
77-kg man
Backstroke
95
130
Breaststroke
91
125
Fast Crawl
87
120
Slow Crawl
95
130
Sidestroke
68
90
Treading Water
35
48
Table 2-1


Scientific data can be organized into different types of graphs. Which type of graph would best illustrate the information from Table 2-1?
a.
circle graph
b.
line graph
c.
bar graph
d.
none of the above



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

C.
Bar graph

Step-by-step explanation:

WHen you have a lot of data like this, it is best that you use bar graphs. If it is incorrect I am sorry.

Students conducted the following experiment 24 times. They drew one card from a box with some red cards and some black cards, put the card back in the box, and then drew another card. The results are shown in the table below.

What is the experimental probability of drawing 1 red card and 1 black card?


A.
3 over 8

B.
3 over 5

C.
5 over 8

D.
3 over 4

Answers

Answer:

it is d

Step-by-step explanation:

The correct answer is d

HELP! Two right rectangular prisms are shown below. If each prism is packed with small cubes of side length 1/4 inch how many more cubes are in prism 2


A. 42 Cubes B. 48 Cubes

C. 510 Cubes D. 720 Cubes

Answers

Answer:

First find the volume of the two rectangular prisms using the formula:

V = l · w · h

Where 'l' represents the length, 'w' the width, and 'h' the height.

Now let's find the volume of Prism 1;

V = l · w · h

V = 7/4 · 3/2 · 5/4

V = (7/4 · 3/2) · 5/4

V = 21/8 · 5/4

V = 105/32 cubic inches.

Now let's find the volume of Prism 2;

V = l · w · h

V = 5/2 · 9/4 · 2

V = (5/2 · 9/4) · 2

V = 45/8 · 2/1(make 2 to 2/1 because it makes it a bit easier)

V = 90/8 cubic inches.

Now let's find how many cubes can fit into each of these prisms.

But first, we need to find out the volume of one cube.

Remember, all sides to a cube are equal.

Using the formula, V = l · w · h;

1/4 · 1/4 · 1/4

= 1/64 cubic inches is the volume of one cube.

Now we find how many cubes can fit inside each of these prisms.

Prism 1:

105/32(volume for this prism) ÷ 1/64(volume of one cube)

= 210 cubes can fit inside prism one.

Prism 2:

90/8(volume for this prism) ÷ 1/64(volume of one cube)

= 720 cubes can fit inside prism two.

Finally, let's calculate their difference:-

720 - 210

= 510 cubes.

Hence, prism 2 can hold 510 more cubes than prism 1.

what is 40 x 40 x 40 please

Answers

Answer:

64000

Step-by-step explanation:

40x40x40=64000

15. What is the y-intercept, axis of the symmentry and vertex of the following function

f(x)=-3x²-6x-5

Answers

Answer:
Axis of sym: x = -1
Vertex: (-1,-2)
Y intercept: y = -5
Answer:

The y-intercept is c so it’s (-5)
Axis of the symmetry u get by using -b/2a and you get (-1 )
Vertex u apply -1 in the equation and u get (-1,-2)
The -1 is the x u got on axis of symmetry and -2 is the y which u get by applying the x= -1 in the formula of f(x)

Can someone help me with this (thanks)

Answers

Answer:

B.) The large bowl was spicier




Small bowl:
5 : 20 = 1 : 4

1 ounce of pepper for every 4 ounces of tomatoes.




Larger bowl:
6 : 30 = 1 : 5

1 ounce of pepper for every 5 ounces of tomatoes.








Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

I think they are the same amount of spicy. C)

Step-by-step explanation:

This is because he used a larger amount of peppers but also a larger amount of tomatoes so if it is not B) it would be C) because they seem as though they could also be the same amount of spicy due to the amounts of each ingredient used.

I hope this helped!

please help me with math problem

Answers

Answer:

No.

Step-by-step explanation:

Your only selecting a selective group of students. In order for it to be random you must gather data from every student not just the ones in the lunch line because that could result in the survey being biased.

Gabe received financial assistance to pay for his college education. He was required to work 20 hours per week in the school's cafeteria to help pay for his tuition. Which kind of financial assistance did Gabe receive?

Answers

Answer:

the financial assistance is work-study.

Which of the following best represents the graph of the line of the equation x + 5y = 15?

Answers

Answer: Letter C

Step-by-step explanation:

Slope: -[tex]\frac{1}{5}[/tex]

Y-intercept: 3

y = -[tex]\frac{1}{5}[/tex] + 3

Answer: C

Step-by-step explanation: ez

A city has the following rule for its mayoral elections:

"Citizens under the age of 21 are not allowed to run for mayor."


Part A: Write an inequality to show the age of citizens who are allowed to run for mayor. (5 points)

Part B: Describe in words how you can show the solution to this inequality on a number line. (Be specific! Open dot or closed dot? Which direction is the arrow pointing?) (5 points

Answers

Answer:

Hi! I answered a question like this yesterday so I will help!

First let's read carefully: Write an inequality to show the age of citizens who ARE allowed to run for mayor.

Part A:

If x ≥ 21, they can vote; x is the age of the person that wants to vote!

Part B:

Mark a closed dot on 21 and an arrow pointing to the right. A closed dot means "greater than or equal to" or "less than or equal to". Marking this would mean that anybody 21 or older can vote.

Hope this helps! Mark the brainliest please!~

Hello!

If x (age person wants to vote) ≥ 21; they can vote.

Mark a closed dot on 21 and an arrow pointing to the right. A closed dot means "greater than or equal to" or "less than or equal to". Marking this would mean that anybody 21 or older can vote.

Part B credit to guy above me :F

Don't have to mark me brainlest.

The solution to 12x = 36 is x =___. (Only input whole number)

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

x = 3

Step-by-step explanation:

12 * (3) = 36. 36 / 12 = (3)

Answer:

x = 3

Step-by-step explanation:

soo all you have to do is make x alone, to do that you have to divide 12 to both sides.

12x / 12 = 36/12

x = 3

Pls help this is due today! PLS DO NOT GIVE ME WEBSITES!

Answers

Answer:864m^2

Step-by-step explanation:

18*18=324

18*30=540

540+324=864

Answer:

684 m.

Step-by-step explanation:

First you divide the shape into one rectangle and one square. You first multiply 18 x 18 for the square to find the area, which equals to 324. Then you do 18 x 30, as the sides are equal. this equals to 540. Now, you add up 324 and 540. You will get the total of 684.

Brandon wants to use the Distributive Property to figure this problem out. What should be his next step?
8 × (10 + 7)
___________
(8 + 10) × (8 + 7)

10 + (8 × 7)

(8 × 10) + 7

(8 × 10) + (8 × 7)

Answers

Now (multiply
8*10)=80+(8*7)=56
80+56
Finally add
80+56=136
Answer
136

3. The length of the radius and slant height of two different cones
are shown.
a. Find the surface area of each cone. Use 3.14
for pi and round to the nearest hundredth.
11.3 cm
9.4 cm
2.9 cm
4.4 cm
b. Which cone has the greater surface area?
Cone 1
Cone 11

Answers

11.34 so have a great day

Erin is rolling a six-sided number cube repeatedly. Her goal is to roll a prime number 12 times. How many times should Erin expect to have to roll the number cube to result in a prime number 12 times?
Enter your answer in the box to correctly complete the statement.
Erin should expect to roll the number cube approximately( )times to result in a prime number 12 times.

Answers

Answer:

24

Step-by-step explanation

50% chance to roll a prime number

Answer:

it would be 24 times

Step-by-step explanation:

so lets think the prime numbers on a six sided dice are 2, 3 and 5 so there is a 50% chance to roll a prime number and she wanted to roll 12 a prime number 12 times and with a 50% chance so we figure out what 50% of ? = 12 witch is 24 so there is your answer hope i could help if you could mark me brainlyist i would love it if not thats fine have a good day (or night) :)

please help me and provide step by step explanation!

Answers

Answer:

154

Step-by-step explanation:

The formula for the area is A=πr2

The line labeled 7 is the radium or the R in the formula

Replace 7 with R

A=π7(squared)

square seven

A=49π

pi is approximately 3.14

mutiply 7 by pi

A= 154

Answer:
So the answer would be 157

if a=2 what is the value of a + 6 ?

Answers

If a =2
Then a+6
= 6+6
=12

8

If you replace a with 2, it would be 2+6

(2+6=8)

Hope this helps :)

Someone78, YOU HAVE BEEN SUMMONED!


Pls answer fast .-.

Answers

Answer:

8831.25 square feet

Step-by-step explanation:

The answer would be C because you do the radius squared times pi. the radius is half the diameter.

9=3/2x step by step ASAP

Answers

Answer <3

Hello there! I'm here to help with your question!

I believe the answer is x= 6

The explanation:

9 = [tex]\frac{3}{2}[/tex] x

9 =[tex]\frac{3x}{2}[/tex]

9 = [tex]\frac{3x}{2}[/tex]

2 · 9 = · [tex]\frac{3x}{2}[/tex]

2 · 9 = 2 · [tex]\frac{3x}{2}[/tex]

2 · 9 = 3x

x = 6

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

Last messages:

I'm truly sorry if this is wrong.

Please forgive me.

Bye! - Lilo <3

Triangle
ABC with vertices A(3, -1), B(0, 8), and C (-3, 1) is reflected so that A’ is
now (3, 1). What was the reflection,
and where are B’ and C’?

Answers

C is the only answer
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