Question

This system has one solution.

{y=−2x+4
{y=x2+4x+13

What is the y-coordinate of the solution?
Enter your answer in the box:

Answer 1

The correct answer is 10. just took the test and got it correct. hope this helps! :)

Answer 2

Hello here is a solution :
y=−2x+4 ... (1)
y=x²+4x+13....(2)

x²+4x+13 = -2x+4
x²+4x+13+2x-4 =0
x²+6x+9 =0
x²+2(3)x+3² = 0
by identite : (x+3)² =0 x+3 =0 x = -3
the y-coordinate of the solutionis : y = -2(-3)+4 = 10