Question

10. 9x - 2y = 11
5x - 2y = 15

what is the solution to the above system of equations

Answer 1

Answer:

x=-1, y=-10

Step-by-step explanation:

First you would subtract the like terms from each other:

9x-5x=4x

-2y-2y=-4y

11-15=-4

Then you would put it back in its equation form as 4x-4y=-4

You would solve for x:

4x=-4+4y

Then ignore 4y and divide 4 from both sides to isolate x:

x=-1

Solve then for y by substituting x into one of the equations:

9(-1)-2y=11

Multiply 9 times x:

-9-2y=11

Add 9 to both sides, cancelling it on the left and adding 9 to 11:

-2y=20

Divide -2 from 20

y=-10