−4x − 2y = 14−10x + 7y = −25
so assuming x=x and y=y for both equations use eliminationmultiply first equation by 7 and second equation by 2-28x-14y=98-20x+14y=-50add-28x-14=98-20x+14y=-50 +-48x+0y=48-48x=48divide both sides by 48-x=1multiply -1x=-1subsitute-4x-2y=14-4(-1)-2y=144-2y=14subtract 4 from both sides-2y=10divide both sides by 2-y=5multiply -1y=-5x=-1y=-5
-4x - 2y = 14 ⇒ -28x - 14y = 98-10x + 7y = -25 ⇒ 20x - 14y = 50 -48x = 48 -48 -48 x = -1 -4x - 2y = 14 -4(-1) - 2y = 14 4 - 2y = 14 - 4 - 4 -2y = 10 -2 -2 y = -5 (x, y) = (-1, -5)
