Question

Part A: explain how you will solve the pair of equations by substitution or elimination. Show all of the steps and write the solution

Part B: if the two equations are graphed, at which point will the lines representing the two equations intersect? Explain your answer.

Answer 1

`part \: a \\ y = 7x - 8 \\ \\ 1. \: 7x - 8 = y \\ 2. \: 7x = y + 8 \\ 3. \: (7x)/(7) = (y + 8)/(7) \\ x = (1)/(7) y + (8)/(7) \\ x = (y + 8)/(7) \\ \\ \\ y = 5x - 2 \\ 1. \: 5x - 2 = y \\ 2. \: 5x = y + 2 \\ 3. \: (5x)/(5) = (y + 2)/(5) \\ x = (1)/(5) y + (2)/(5) \\ x = (y + 2)/(5)`

`part b \\ 1. \: x = (y)/(5) + (2)/(5) \\ 2. \: x = (y + 2)/(5) \\ 3. \: x * 5 = y + 2 \\ 4. \: 5x = y + 2 \\ 5. \: 5x - 2 = y \\ 6. \: y = 5x - 2 \\ \\ answer. \: y = 5x - 2`