A pair of equations is shown below:

y = 7x − 8
y = 5x − 2

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

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

Question

A pair of equations is shown below:

y = 7x − 8
y = 5x − 2

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. 

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer.

onepieceftw · Answer

For substitution solve on of the equations for a variable, say x
For the first equation solving for x would look like this: $$\frac{ y+8 }{ 7 } = x$$
The take that value for x (y+8/7) and substitute it for x in the second equation.
$$y = 5(\frac{ y+8 }{ 7 }) - 2$$
and now you can solve it.