Question

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, so to start off this problem i used substitution... after, this is some of the math used to solve this promblem y = 8x - 9 y = 4x - 1 8x - 9 = 4x - 1 ... so after that u can see i was just using substitution so now lets move on to the next step..

Answer 1

Answer:

see below

Step-by-step explanation:

y = 8x − 9

y = 4x − 1

Since the two equations are both equal to y set them equal to each other

8x -9 = 4x-1

Subtract 4x from each side

8x - 9 -4x = 4x-1-4x

4x -9 = -1

Add 9 to each side

4x-9+9 = -1+9

4x = 8

Divide by 4

4x/4 = 8/4

x=2

Now find y

y =4x-1

y = 4(2) -1

y = 8-1

y = 7

(2,7)

The solution to the system of equations is where the two lines intersect.  When  the two lines are graphed, they will intersect at (2,7)