Answer:
(-6, 2)
Explanation:
-5x + 4y - 38 = 0 (1) | -x +2y - 10 = 0 (2)
First i multiply the 2nd equation by -5, because i want the magnitude of the x coefficient to be the same but with opposite signs, because when i'll add the equations the x's are going to cancel.
(2) * (-5):
5x - 10y + 50 = 0 (2')
(1) + (2'):
-5x + 4y - 38 + 5x - 10y + 50 = 0
-6y + 12 = 0
y = 2
Use the second equation, before multiplying to find the x - solution.
-x + 2(2) - 10 = 0
-x + 4 - 10 = 0 | add 'x' to both sides
x = -6