Solve the system of linear equations using elimination. −7x + 3y = −6 −3x + 3y = 6 A) (3, 5) B) (3, −5) C) (−3, 5) D) (−3, −5)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

We have

−7x + 3y = −6    ….1

−3x + 3y = 6      ….2

Now, Subtracting equation 1 from equation 2, we get

-3x + 3y -(-7x + 3y) = 6 -(-6)

-3x + 3y + 7x - 3y = 6 + 6

4x = 12

x =12/4

x = 3

Now  putting value of x in equation 1, we get

-7(3) + 3y = -6

3y = -6 + 21

3y = 15

y = 15/3

y = 5

So, solution is (3,5)

Thus, option (A) is correct.