Question

Which of the following is a solution to the system y=-3x+5 and y=2x+5?

A.(1,7)
B.(5,0)
C.(2,-1)
D.(0,5)

Answer 1

\[y=-3x+5\]
\[y = 2x+5\]

so

\[-3x+5 = 2x+5\]

-3x = 2x

so x must be 0

now y = -3(0) + 5 = 5

Answer 2

subtract one equation from another, and you get
(y-y)=-3x+5-2x-5, so x is equal to 0. if you use value x=0 in first equation, you get y=-3*0+5, so answer is (0;5)