ANSWER
x = 2; y = -3
Step-by-step explanation
We have two equations given:
y = -5x + 7
y = -2x + 1
We can equate both equations because they both yield y.
That is:
-5x + 7 = -2x + 1
Collect like terms:
7 - 1 = -2x + 5x
=> 3x = 6
Divide through by 3:
x = 6/3
x = 2
From the first equation:
y = -5(2) + 7
y = -10 + 7
y = -3
Therefore, the solution to the system of equations is x = 2 and y = -3