Identify the solution(s) of the system of equations, if any.

Question

2x + 5y =10
Y = 2 – x

a) (-2,0)
b) (2,0)
c) (0,-2)
d) (0,2)

Answer 1

2 x + 5 (2-x) = 10
2 x - 5 x + 10 = 10
-3 x = 0
x = 0
y = 2-x = 2
(0,2)

Answer 2

d) (0,2)