Solve for linear equations by substitution

x + 2y = 6
X-y=3

Answers

Answer 1

Answer:

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

 

Step-by-step explanation:

Answer:

x=4 and y=1


Related Questions

Find the midpoint of CD if C(0, 3) and D(4,7).​

Answers

This midpoint should be (2,5)
Hope this helps
it would be (2,5) :)

Please answer this correctly, just a few simple problems.

Answers

Answer:

Step-by-step explanation:

11.  Point (0,4) m=2

 y-y1 = m(x-x1)

 y - 4 = 2(x -0 )

  y-4 =2x

  y = 2x+4

12.  (3,5) and (9,3)

 m = (3-5) / (9-3)

 m = -2 / 6 = -1/3

y-y1 = m(x-x1)

y - 5 = (-1/3) (x - 3)

3y -15 = -(x-3)

3y = -x + 3 +15

3y = -x +18

13.  y = -x/3 + 6

14.  3x - 5y = 15

        -5y = -3x +15

         divide by -5 throughout

    y = (3/5)x - 3

A picture of 4 Quadrants

Answers

Answer:

This is 4 quadrants picture

enter integer: 4 you entered: 4 4 squared is 16 and 4 cubed is 64 !! enter another integer: 5 4 5 is 9 4 * 5 is 20

Answers

The value of the integers computed are 25 and 125.

How to compute the value?

It should be noted that from the information given, 4² is given as 16 and 4³ is given as 64. We are to find another example that illustrates the information.

The number to use here is 5.

In this case, 5² will be 5 × 5 = 25

5³ will be 5 × 5 × 5 = 125

Therefore, the value of the integers computed are 25 and 125.

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which equation represents the line shown on the ​

Answers

Answer:

A

Step-by-step explanation:

y-int = -2

so the line should cross (0, -2)

Rise over run is 2/5 so go up 2, over 5 and put your dot etc...

help me solve this. ​

Answers

Answer:

A' (-1,2), B' (-5,-3), C' (3,2)

Step-by-step explanation:

Reflect triangle ABC across the y-axis.

Ry-axis: (x,y) → (-x,y)

A (1,2) → A' (-1,2)

B (5,-3) → B' (-5,-3)

C (-3,2) → C' (3,2)

I hope this helps :)

Answer:

this the season to be jolly falalalalaaaa la la la la

30 P O I N T S H U R R Y

Answers

Answer:

1  1/2

Step-by-step explanation:

I think

Answer:

1 1/14

Step-by-step explanation:

same denominator so, 10+11 = 21,

simplified, 1 1/14

the faces of a 10-sided die are numbered 0 through 9. a. if the die is rolled, what is the probability that the value of the roll is a prime number? b. what is the expected value of the roll? c. if the die is rolled twice, what is the probability that the same number is obtained both times?

Answers

If the die is rolled then the probability of the roll is a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]. The probability that the same number would appear twice on the dice is [tex]0.01[/tex], and the expected value of the roll is [tex]5.5[/tex].

How would you define expected value?

Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis. The anticipated value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen. Find the anticipated value by [tex]E(X)[/tex]. Simply multiply each value of the discrete random variable by its probability, then add the results to get the value, or mean, of the random variable. The equation is provided as [tex]E(X)[/tex]=μ=Σ[tex]XP(X)[/tex]. Expected value is calculated by multiplying each outcome's value by the probability.

Total Number of outcomes is [tex]10[/tex]. And the number of prime number is [tex]4 \ \ i.e.\ (2,3,5,7)[/tex]. So the probability of a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]

The expected value is ×[tex]XP(X)= 0*\frac{1}{10}+1 * \frac{1}{10} + 2*\frac{1}{10} +3*\frac{1}{10} +4*\frac{1}{10} +5*\frac{1}{10} +6*\frac{1}{10} +7*\frac{1}{10} +8*\frac{1}{10} +9*\frac{1}{10} \\ =0+\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10}+\frac{5}{10}+\frac{6}{10}+\frac{7}{10} +\frac{8}{10}+\frac{9}{10} \\ =\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{55}{10}=5.5[/tex]

If the dice is rolled twice the probability that the same number is obtained is [tex]\frac{1}{10}*\frac{1}{10}=\frac{1}{100}=0.01[/tex]

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Which statement is true A has the risk of an investment decreases the opportunity of gains increases B as the risk of an investment decreases so does the potential for its return C as the risk of an investment increases its market value increases D as the risk of an investment increases the opportunity of gains decreases E as a risk of an investment increases its market value decreases

Answers

Answer is B: As the risk of an investment decreases, so does the potential for its return.

PLEASE ANSWERR CORRECTLY!!!!!!!!
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!!!!!!!

At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?

A) $1.08
B) $1.50
C) $41.50
D) $83.00

PLEASE ANSWER CORRECTLY!!!!!!!!
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B)  $1..50

Step-by-step explanation:

First, how many trading cards did Naveen have?

87 + 9 - 16 + 3 = 83

$124.50 / 83  = $1.50

Help pleaseeeeeeeeee

Answers

The answer is will be E trust

Georgina wants to practice the piano for a two least 45 minutes tonight. Which of the following inequalities represents the situation?

Answers

um i would love to help but i do t really understand

What are the characteristics of the vector shown?


magnitude of 8 and direction angle equal to 0°

magnitude of 8 and direction angle equal to 180°

magnitude of 2 StartRoot 2 EndRoot and direction angle equal to 0°

magnitude of 2 StartRoot 2 EndRoot and direction angle equal to 180°

Answers

Answer:

The correct option is;

Magnitude of 8 and direction angle equal to 0°

Step-by-step explanation:

The magnitude of a vector is given by the distance from the initial point of the vector, (which id the starting point) to the final point of the vector, which is the end point of the vector

From the graph, the starting point of the vector = (-2, 2·√2)

The end point of the vector from the graph = (6, 2·√2)

The magnitude of the vector = √(6 - (-2))² = 6 - (-2) = 6 + 2 = 8

The direction of the vector = arctan((The y-component of the vector)/(The y-component of the vector))

∴ The direction of the given horizontal vector = arctan(0/8) = arctan(0) = 0°

Answer:

A - Magnitude of 8 and direction angle equal to 0°.

Step-by-step explanation:

Edge. 2023


Either c or d (I’ll mark u as brainlist)

Answers

Answer:

C.

Step-by-step explanation:

The top system of equations has the solutions:

x = -(236/3) y = -(44/3)

C. System of equations has:

x = -(236/3) y = -(44/3)

D. System of equations has:

x = -(204/19) y = -(44/19)

4x-5=x-1+3x I need help

Answers

Answer:

x = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x - 5 = x - 1 + 3x

Step 2: Solve for x

Combine like terms:                    4x - 5 = 4x - 1Subtract 4x on both sides:          -5 ≠ -1

Here we see that -5 does not equal -1.

∴ This equation has no solutions.

a dozen cookies shared among 15 children. If each child receives the same amount of pizza, how much will each child get?

Answers

The question is a bit confusing can rephrase it?!

Plssssss help me I don’t understand this!!!

Answers

Answer:

D. 375

Step-by-step explanation:

this is the answer because the distance you need to travel doesn't change based off the amount of gas you have

Help plzzzzz!!!:) I’ll make you brainlest:)

Answers

Answer:

3r/s

Step-by-step explanation:

Does anyone know??? ???

Answers

Answer: The answer is D.) -2 and I'm correct :)

Step-by-step explanation:(-3,0) and (-4,2)

M=y2-y1

x2-x1

M= 2-0= 2

-4-(-3) = -1 ^Both equal to -2

Pls be right will give brainliest

Answers

Answer:

The answer is D.

Step-by-step explanation:

Find the measure of Angle A. Angle A=​

Answers

Answer: Angle A= 35

Step-by-step explanation:

Question 9 PLZ HELP FAST ILL GOVE BRAINLIST AND EXTRA MALE SURE TOU EXPLAIN YOURSELF

Answers

Answer:

C

Step-by-step explanation:

the unit right below yards is ft so we can mark out A

we also know that there are 3 feet in 1 yard and that in order for the unit yard to cancel out, the 1 yard needs to be the denominator to 3 feet, so we can mark out D

the unit right below feet is inches and we know that there are 12 inches in one foot, so we can mark out B

this leaves us with C

Is -2=-2 a true or false statement

Answers

Answer:

true

Step-by-step explanation:

Please help me as soon as possible!! please somebody with the correct answer please!

Answers

Answer: -0.6

Step-by-step explanation:

a spherical ball is measured to have a radius of 6 c mwith a possible measurement error of plus-or-minus 0.1 rm c m. use the differentials to estimate the percentage error in computing the volume of the ball.

Answers

Percentage error in computing volume is 10%;

r = 6 cm;

Possible measurement error , dr = ±0.1;

dr = 0.1-(0.1) = 0.2 cm;

Volume, V = 4/3 πr³ -(1)

Differentiate w.r.t. r;

dV/dr = 4πr²;  -(2)

Divide (2) by (1);

dV/V = 3 (dr/r)

Put value of r = 6 cm, dr = 0.2 cm;

dV/V = 0.1

Percentage error in computing volume = dV/V × 100% = 10%

volume is a measure of occupied three-dimensional space. it's miles frequently quantified numerically using SI derived units (consisting of the cubic meter and liter) or by way of diverse imperial devices (inclusive of the gallon, quart, cubic inch).

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help me please........​

Answers

I-
What is that
What grade are u in
I’m sinor and still haven’t seen that
I’m scared

Step-by-step explanation:

a : (-6 , -8)

b: (6 , 8)

I used desmos for the problems

The school is 4000 meters from Jim house how many kilometers is this

Answers

Answer:

A

Step-by-step explanation:

Can someone answer this plz

Answers

Answer:

slope is 4x

y intercept is (0,6)

equation is y=4x+6

Step-by-step explanation:

don't know what proportional means with graphs

Two dice are tossed. If the first die shows 4, what is the probability that the second die shows even ?

Answers

Answer:

There's a 1/6th chance it'll be tied up.

Step-by-step explanation:

A dice has six sides. One of these sides has 4 dots.

Answer:

2/3 or 1/6

Step-by-step explanation:

Because a die has six sides. So you have six chances to get a 4 again.

Mount Evans in Colorado reaches a height of 14,265 feet above sea level. Mount Boulder in Utah reaches a height of 11,316 feet above sea level. Which statement can be used to show that Mount Boulder is smaller than Mount Evans?

11,316 ft ≥ 14,265 ft
11,316 ft = 14,265 ft
11,316 ft 14,265 ft

Answers

Answer:

11,316 < 14,265

Step-by-step explanation:

< Smaller than Mount Evans

> Bigger than Mount Evans

= Same size as Mount Evans

< Less than or equal to the size of Mount Evans

> Greater than or equal to the size of Mount Evans

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