please help i am not sure what i am doing wrong/incorrectly !

Question

Solve the system of equations by the elimination method:

Answer 1

Hi Rebecca,

We can solve the two equations using elimination.

-9x - 11y = 108

x + 10y = -8

Multiply the second equation by 9 to find the value of y :

x + 10y = -8 becomes 9x + 90y = -72

Now combine this "new" equation with the first one:

-9x - 11y = 108

9x + 90y = -72

79y = 36

y = 0.456

Now substitute 0.456 for y in either of the original equations to find the value of x.

(Let's use the second equation.)

x + 10y = -8

x + 10 • 0.456 = -8

x + 4.56 = -8

x + 4.56 - 4.56 = -8 - 4.56

x = -12.56