Question

I need help on #10 & #11 (isolate x)

Answer 1

10.

y + 4x = 10x - 6

Subtract 10x from both sides and simplify.

y + 4x - 10x = 10x - 10x - 6

y - 6x = -6

Subtract y from both sides and simplify.

y - y - 6x = -6 - y

-6x = -6 - y

Divide both sides by -6 and simplify.

$\dfrac{-6x}{-6} = \dfrac{-6 - y}{-6}$

$x = \dfrac{-1(6 + y)}{-1(6)}$

$x = \dfrac{y + 6}{6}$

12.

4g + r = 2r - 2x

Flip sides to get x on the left side.

2r - 2x = 4g + r

Subtract 2r from both sides and simplify.

2r - 2r - 2x = 4g + r - 2r

-2x = 4g - r

Divide both sides by -2 and simplify.

$\dfrac{-2x}{-2} = \dfrac{4g - r}{-2}$

$x = \dfrac{-4g + r}{2}$

$x = \dfrac{r - 4g}{2}$

Answer 2

10. x=y/6+1 11. x=-2g+r/2