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Chapter 4: Q. 338 (page 479)

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

x-y=02x+5y=-14

Short Answer

Expert verified

The solution for the system of linear equations is-2,-2.

Step by step solution

01

Step 1. Given information. 

The system of linear equations,

x-y=02x+5y=-14

02

Step 2. Substituting the value of y from one equation into another equation. 

x-y=0y=x

Now substituting this in another equation we get

2x+5x=-147x=-14x=-2

03

Step 3. Substituting the value of x in any equation. 

2-2+5y=-14-4+5y=-145y=-10y=-2

04

Step 4. Checking the result.

Substituting the value of xand yin the first equation then

x-y=0-2-(-2)=0-2+2=00=0

Substituting the value of xand yin the second equation then

2x+5y=-142(-2)+5(-2)=-14-4-10=-14-14=-14

Hence, this is true.

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