Question

What is the solution for the system of equations?

Use the substitution method to solve.

y=5−3x
5x−4y=−3

Enter your answer in the boxes.

Answer 1

The solution is at what point the two lines intersect.
Plug y into the other equation to get: 5x-4(5-3x)=-3
Multiply it out: 5x+12x-20=-3
Combine like terms and add 20 to both sides: 17x=17
Divide both sides by 17: x=1
Now plug the x value back into any equation to get the y value.
So you get y=5-3(1) --> y=2
The solution is (1, 2)