Question

HELP ASAP

A pair of equations is shown below:

y = 2x + 9
y = 4x − 3

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)

Your answer:

Answer 1

(6,21)

Explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).