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Chapter 11: Q. 315 (page 1159)

In the following exercises, solve the system of equations by using substitution.

y=x2+3y=-2x+2

Short Answer

Expert verified

Solution for the system of equations

鈥�x=-1y=4

Step by step solution

01

Given information 

System of equations

y=x2+3y=-2x+2

02

Substitution method 

y=x2+3y=-2x+2

Substitute y =-2x+2 in first equation

-2x+2=x2+3Add2xandsubtract2frombothsides0=x2+3+2x-20=x2+2x+10=(x+1)(x+1)x+1=0x=-1

03

Substitute x value 

substitute x=-1 in the second equation

y=-2x+2y=-2(-1)+2y=4

04

Step 4:

solution for the given system of equations

x=-1,y=4

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