A pair of equations is shown below: y = 8x − 9 y = 4x − 1 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)

Part A: (2, 7)

Part B: (2, 7)

Step-by-step explanation:

Part A:

First, subsitution. Since both of these equations are equal to y, we know that 8x-9 = 4x-1. Combining like terms, we have 4x = 8, meaning that x = 2. Knowing that x = 2, we can plug this value into both equations.

8(2) - 9 = 7

4(2) - 1 = 7  

We get that y = 7.

Next, we'll use elimination. Since both equations are equal to y, we can subtract the first equation from the second equation and get:

0 = 4x - 8

Bringing the 8 onto the left side, we get the x = 2, and from there we can prove that y = 7, the same way we did with substitution.

Part B:

Both of these are linear, so that means that the intersection of these two lines will have the same y coordinates. So, 8x - 9 = 4x - 1.  Wait, we already solved this! It's the same as part A. So our answer to part B is the same to part A.

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step-by-step explanation:

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