This system has one solution.

{y=-2x+4

{y=x2+4x+13

What is the y-coordinate of the solution?

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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