Question

Solve for x and y:.
152x – 378y = -74
-378x +152y = -604

Answer 1

Answer:

check the attachment :)

Answer 2

Answer:

x=2 and y=1

Step-by-step explanation:

Steps:

I will solve your system by substitution.

(You can also solve this system by elimination.)

152x−378y=−74 ;−378x+152y=−604

Step: Solve152x−378y=−74for x:

152x−378y+378y=−74+378y(Add 378y to both sides)

152x=378y−74

152x152=378y−74152(Divide both sides by 152)

x=18976y+−3776

Step: Substitute18976y+−3776forxin−378x+152y=−604:

−378x+152y=−604

−378(18976y+−3776)+152y=−604

−2994538y+699338=−604(Simplify both sides of the equation)

−2994538y+699338+−699338=−604+−699338(Add (-6993)/38 to both sides)

−2994538y=−2994538

−2994538y−2994538=−2994538−2994538(Divide both sides by (-29945)/38)

y=1

Step: Substitute1foryinx=18976y+−3776:

x=18976y+−3776

x=18976(1)+−3776

x=2(Simplify both sides of the equation)