Question

Elimination?0-%202y" id="TexFormula1" title=" - 2y = - 6x + 62 \\ - x = - 22 - 2y" alt=" - 2y = - 6x + 62 \\ - x = - 22 - 2y" align="absmiddle" class="latex-formula">

Answer 1

The value of y is -7.

The value of x is 8.

First we need to rearrange these equations so they line up properly.

6x - 2y = 62

-x + 2y = -22

Add equations together.

5x = 40

Divide both sides by 5.

x = 8

We can plug this value in to find the value of y.

6(8) - 2y = 62

48 - 2y = 62

Subtract 48 from both sides.

-2y = 14

Divide both sides by -2.

y = -7