Question

This system has one solution. {y=6x−11 y=x2+4x−10 What is the y-coordinate of the solution? Enter your answer in the box. y =

Answer 1

y=6x−11 y=x²+4x−10
6x−11=x²+4x−10
6x-11-x-4x+10=0
2x-1-x²=0
-(1-2x+x²)=0
-(1-x)2=0
1-x=0
x=1
Plug x into 6x -11=x²+4x-10
6x-11=x²+4x-10
6(1)-11=(1)²+4(1)-10
6-11=1+4-10
-5 = -5

y= -5