Question

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x + 10 and y = 4x

Answer 1

There are 5 steps. The solution is (5/4,5)

Explanation:

1. In the y+5x=x+10 equation, subtract 5x from both sides to get y=-4x+10.

2. Set y=-4x+10 and y=4x equal to each other to get -4x+10=4x

3. Add 4x to both sides, which leaves you with 10=8x

4.Divide both sides by 8 to get x=10/8 or 5/4 when you simplify

5. Plug 5/4 into the y=4x equation and multiply 5/4 by 4/1, which leaves you with 20/4, or 5.

So the solution to this problem is (5/4,5). If you graph these two equations, you will get the same solution.