Answer:
(13 , 34)
Step-by-step explanation:
This equation is already formatted nicely for us, telling us exactly what y represents.
Let's plug in the y = equation into the other one.
4x + 3y = 24 turns into....
4x + 3(3x - 5) = 24
Distribute here.
4x + 9x - 15 = 24
Simplify.
13x - 15 = 24
Again.
13x = 39
More....
x = 13
Ta-da! We now know our x value. Now, plug it into the y = equation.
y = 3x -5 turns into....
y = 3(13) - 5
Distribute.
y = 39 - 5
Simplify.
y = 34
And there's the y value. You can check by plugging them in again or by sticking the two equations into a graphing calculator like Desmos and checking the intersection point, but my fingers are cramping a bit.
