Solve the system of equations by substitution. x + 7y = 8 and 3/8x + 1/3y = 17/24

X+7y=8

3/8x + 1/3y = 17/24

Multiply top equation by - 3/8

-3/8x + 7y = 8

3/8x + 1/3y = 17/24

-2.625y=-3

1/3y = 17/24

-2.22917y = - 2916

Here's x and y for each equation:

x + 7y = 8

x = - 7y + 8

y = - x/7 + 8/7

3/8x + 1/3y = 17/24

x = - 8y/9 + 17/9

y = - 9x/8 + 17/8

Now to plug in!

x + 7y = 8

-8y/9 + 17/9 + 7y = 8

y = 1

x + 7y = 8

x + 7 (-9x/8 + 17/8) = 8

x = 1