Question

Solve the following system of equations.

-8x -9y = 10
4x -5y = 14


(See picture attached)

Answer 1

x=10 and y=-10

Explanation:

-8x-9y=10

4x-5y=14

put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.

-5(-8x-9y=10)

-9(4x-5y=14)

the subtract the first equation from the second equation after multiplying.

40x+45y=-50

-

-36x+45y=-90

4x=40

x=10

Now get any equation from the two equations and find the value of y.

-8x-9y=10

-8*10-9y=10

-9y=10+80

-9y=90

y= -10