Question

x + 7y = 6x-(2/3)
Solve for x and y. You do not need to show your work

Answer 1

Answer:

$\displaystyle x = \frac{21y + 2}{15}$

$\displaystyle y = \frac{15x - 2}{21}$

Step-by-step explanation:

Solve for x:

remove parentheses:

$\displaystyle x + 7y = 6x - \frac{2}{3}$

move x to left hand side and y to right hand side and change its sign:

$\displaystyle x - 6x = -7y - \frac{2}{3}$

simplify Substraction:

$\displaystyle - 5x = \frac{-21y - 2}{3}$

divide both sides by -5:

$\displaystyle x = \frac{21y + 2}{15}$

Solve for y:

move x to the right hand side and change its sign:

$\displaystyle 7y = 6x - x- \frac{2}{3}$

simplify Substraction:

$\displaystyle 7y =5x- \frac{2}{3}$

simplify substraction:

$\displaystyle 7y = \frac{15x - 2}{3}$

divide both sides by 7:

$\displaystyle y = \frac{15x - 2}{21}$

and we are done!