Question

Use linear combination. To solve system
-2x+7y=10
X-3y=-3

Answer 1

so
use elimintation
multily second equation by 2
2x-6y=-6
add to first equation

2x-2x+7y-6y=10-6
y=4
subsitute
x-3(4)=-3
x-12=-3
add 12 to both sdies
x=9


x=9
y=4

Answer 2

-2x + 7y = 10 ⇒ -2x + 7y = 10
x - 3y = -3 ⇒ -2x + 6y = 6
y = 4
-2x + 7(4) = 10
-2x + 28 = 10
-28 -28
-2x = -18
-2 -2
x = 9
(x, y) = (9, 4)