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Chapter 4: Q. 69 (page 387)

Solve the system of equations by substitution and explain all your steps in words:

3x+y=12x=y-8

Short Answer

Expert verified

The solution of system of linear equation3x+y=12x=y-8 is(1,9)

Step by step solution

01

Step 1. Given information and Solving equation

Given system of linear equations:

3x+y=12x=y-8

Firstly we will solve one equation for one valuable.

Consider equation 2

Substitute x=y-8in equation

3x+y=12and solve fory.

Consider:localid="1644340563247" 3x+y=12

Substitute and simplify parenthesis:

3(y-8)+y=123y-24+y=12

4y=36

y=36梅4

y=9

02

Step 2. Solving for x

Now let us substitute y=9into

x=y-8and solve forx

On substituting we get:

x=9-8x=1

So the solution is:(1,9)

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Most popular questions from this chapter

The sum of two number is

-26. One number is 12less than

the other. Find the numbers.

In the following exercise, solve the systems of equations by elimination.

x+y2=32x5-y5=3

Solve the system by substitution:

4x-y=02x-3y=5

Without graphing, determine the number of solutions and then classify the system of equations.

y=-12x+5x+2y=10

In the following exercises, solve the systems of equations by elimination.

2x+9y=-43x+13y=-7
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