Maths-
SAT
Easy
Question
x2 + y = 7
x - y = 5
Which value is a y-coordinate of a solution to the system of equations above?
- -8
- -3
- -2
- 6
The correct answer is: -2
x2 + y = 7 
y = 7 – x2
x – y = 5 y = x – 5
7 – x2 = x – 5
x2 + x – 5 – 7 = 0
x2 + x – 12 = 0
x2 + 4x – 3x – 12 = 0
x (x + 4) – 3 (x + 4) = 0
(x + 4) (x – 3) = 0
x = - 4 or x = 3
y = x – 5 or y = x – 5
y = - 4 – 5 y = 3 – 5
y = - 9 y = - 2
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