Question

−5x+4y=38 −x+2y=10 solve by elimination

Answer 1

Answer:

(-6, 2)

Step-by-step 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