Question

Which is an equivalent form of the first equation that when added to second equation eliminates the x terms? 4/5 x-3/5y=18

Answer 1

`-8x + 6y = -180`

Explanation:

Given

`(4)/(5) x-(3)/(5)y=18`

`8x + 12y = 11`

Required

Equivalent form of the first equation that eliminates x when added to the second

To do this, we simply make the coefficients of x to be opposite in both equations.

In the second equation, the coefficient of x is 8.

So, we need to make the coefficient of x -8, in the first equation.

`(4)/(5) x-(3)/(5)y=18`

Multiply by -10

`-10 * [(4)/(5) x-(3)/(5)y=18]`

`(-40)/(5) x+(30)/(5)y=-180`

`-8x + 6y = -180`

When this is added to the first equation, the x terms becomes eliminated