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

Answer:

$-8x + 6y = -180$

Step-by-step explanation:

Given

$\frac{4}{5} x-\frac{3}{5}y=18$

$8x + 12y = 11$

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.

$\frac{4}{5} x-\frac{3}{5}y=18$

Multiply by -10

$-10 * [\frac{4}{5} x-\frac{3}{5}y=18]$

$\frac{-40}{5} x+\frac{30}{5}y=-180$

$-8x + 6y = -180$

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