Question

−5x+9y= −32

−5x−3y= 4



Find solution of the system of equations. ​

Answer 1

x=1 , y=-3

By multiplying the bottom equation by 3 then subtract it by the equation above. You’ll get the solution of x, your answer should be 1 . Then substitute “1” to either of the equation.

Answer 2

(x, y) = (1, -3)

Explanation:

The x-variable can be eliminated by subtracting the second equation from the first:

(-5x +9y) -(-5x -3y) = (-32) -(4)

12y = -36 . . . . simplify

y = -3 . . . . . . . divide by 12

Substituting into the second equation, we have ...

-5x -3(-3) = 4

-5x +9 = 4 . . . . . simplify

-5x = -5 . . . . . . . subtract 9

x = 1 . . . . . . . . . . divide by -5

The solution to the equations is (x, y) = (1, -3).