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


Sagot :

-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)
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