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

Question

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

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Alice 3 weeks 2021-12-28T18:52:11+00:00 1 Answer 0 views 0

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    2021-12-28T18:53:40+00:00

    Answer:

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

    Step-by-step 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.

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