Question

Tell me how I can eliminate the x-terms in this system

Answer 1

Multiply the bottom equation by 3 on both sides.

Answer 2

Multiply by
`\boxed{\sf 3 }` on both sides.

Explanation:

To eliminate the x terms in the system, we can multiply the second equation by 3 and add it to the first equation. This will give us a single equation with only y terms.

9x-7y=-3

-9x+15y=27

Adding the two equations, we get:

9x - 7y -9x + 15y = - 3 + 27

8y=24

`(8y)/(8)=(24)/(8)`

y=3

Now that we know the value of y, we can substitute it back into either of the original equations to solve for x.

Substituting y=3 into the first equation, we get:

9x-7(3)=-3

9x-21=-3

9x = -3 + 21

9x=18

`\sf (9x)/(9)=(18)/(9)`

x=2

Therefore, the solution to the system of equations is x=2 and y=3.