Hey there! :)
Equation 1 : -5x + 3y = 2
Equation 2 : -5x - 5y = -30
Because both equations contain a like term (which in this case is 5x), we can easily subtract these equations from one another.
Subtract equation 1 from equation 2 :
-5x - (-5x) = 0
3y - (-5y) = 3y + 5y --> 8y
2 - (-30) = 2 + 30 --> 32
This leaves us with 8y = 32. Simplify this to get y by dividing both sides by 8.
8y ÷ 8 = 32 ÷ 8
Simplify.
y = 4
Now, plug in 4 for y in our first equation.
-5x + 3(4) = 2
Simplify.
-5x + 12 = 2
Subtract 12 from both sides.
-5x = 2 - 12
Simplify.
-5x = -10
Divide both sides by -5.
-5x ÷ -5 = -10 ÷ -5
Simplify.
x = 2
Therefore, our answer is :
(2, 4) where x = 2, y = 4
~Hope I helped!~
