Question

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

Answer 1

`\displaystyle x = (21y + 2)/(15)`

`\displaystyle y = (15x - 2)/(21)`

Explanation:

Solve for x:

remove parentheses:

`\displaystyle x + 7y = 6x - (2)/(3)`

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

`\displaystyle x - 6x = -7y - (2)/(3)`

simplify Substraction:

`\displaystyle - 5x = (-21y - 2)/(3)`

divide both sides by -5:

`\displaystyle x = (21y + 2)/(15)`

Solve for y:

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

`\displaystyle 7y = 6x - x- (2)/(3)`

simplify Substraction:

`\displaystyle 7y =5x- (2)/(3)`

simplify substraction:

`\displaystyle 7y = (15x - 2)/(3)`

divide both sides by 7:

`\displaystyle y = (15x - 2)/(21)`

and we are done!