How do you solve the system of equations 3x + 7y = 8 and 2y = - 9x + 24?

1 Answer

See below.

Explanation:

We see that by multiplying the first equation by 3, we can eliminate the x from the equation.

3x+7y=8->9x+21y=24

and

-9x+24=2y

Adding,

21y+24=2y+24, so color(blue)(y=0

Plugging this in,

-9x+24=0

x=24/9 so color(blue)(x=8/3

Our final solution is (8/3,0).