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Order the steps below to solve the system for x using the substitution method. y = x - 5x - 7y = -1

Question

Order the steps below to solve the system for x using the substitution method.

y=x−5 y = x - 5
7y=−1 7y = -1

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Solution

  1. Start with the given system of equations: y = x - 5 x - 7y = -1

  2. Solve the first equation for x: x = y + 5

  3. Substitute (y + 5) for x in the second equation: (y + 5) - 7y = -1

  4. Simplify the equation: -6y + 5 = -1

  5. Subtract 5 from both sides: -6y = -6

  6. Divide both sides by -6: y = 1

  7. Substitute y = 1 into the first equation: 1 = x - 5

  8. Add 5 to both sides: x = 6

So, the solution to the system of equations is x = 6, y = 1.

This problem has been solved

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