Question

Please Help Me With 2 questions :(

Answer 1

How can I be of service :D?

Answer 2

A pair of equations is shown below:

y = 3x – 5
y = 6x – 8

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.

Answer 3

@xGuardians

Answer 4

Okay, I prefer using substitution in this case, here are the steps.
1. Take a preferred equation and solve for x.
y = 3x - 5
y + 6 = 3x
(y+6)/3 = x
Substitute that back into the other equation.
y = 6(y+6/3) - 8
y = 2(y+6) - 8
y = 2y + 12 - 8
y = 2y + 4
-y = 4
y = -4
Subsitute this value into either equation to find x.
-4 = 3x - 5
1 = 3x
x = 1/3

To find where they intersect, simply set them equal to one another.
3x - 5 = 6x - 8
3x = 6x -3
3 = 3x
x = 1
Substitute back into either equation to find y-value.
y = 3(1) - 5
y = -2
At the point (1,-2), they intersect.