Solve for Y

y+3x=6

y-5x=-1

Y = 6-3x

replace y with x

(6-3x) - 5x=-1

6-3x-5x=-1

-8x=-1

x=-8/-1

x=8

replace x with the solved answer

y+3x=6

y+3*8 = 6

y = 6-3*8

y = - 21

y + 3x = 6 y - 5x = - 1

Isolate y on the right side of the two equations. Subtract 3x from the first equation, and add 5x in the second equation.

y = 6 - 3x y = - 1 + 5x

Since these two equations both equal y, make them equal to each other in an equation.

6 - 3x = - 1 + 5x

Subtract 6 from both sides.

-3x = - 7 + 5x

Subtract 5x from both sides.

-8x = - 7

Divide both sides by - 8.

x = 7/8

Plug 7/8 for x into either equation; I will plug it into the first equation.

y + 3 (7/8) = 6

Multiply 3 * 7/8.

y + 21/8 = 6

Subtract 21/8 from both sides.

y = 27/8