Question

If (x, y) is a solution to the system of equations, what is the value of x?

5
2
x + y = 2
x +
2
3
y = 4

A) 4
B) -4
C) 12
D) -12

Answer 1

B) -4

Explanation:

(5/2)x + y = 2

x + (2/3)y = 4

y = 2 - (5/2)x

x + (2/3)(2 - (5/2)x) = 4

x + 4/3 - (5/3)x = 4

(-2/3)x = 8/3

-2x = 8

x = -4