Question

Apair of equations is shown below: Y=8x - 9y = 4x - 1Part A: explain how you will solve the pair of equations by substitution or elimination Part B: if the two equations are graphed, at what point will the lines representing the two equations intersect

Answer 1

Given the following system of equations:

y = 8x - 9

y = 4x - 1

Let's determine the solution using two methods, Substitution and Elimination:

a.) Substitution Method: Subsitute y = 8x - 9 in the y of y = 4x - 1.

y = 4x - 1 y = 4x - 1 at x = 2

(8x - 9) = 4x - 1 = 4(2) - 1

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

8x - 4x = 9 - 1 y = 7

4x = 8

4x/4 = 8/4

x = 2

Therefore, the solution to the equation using the Substitution Method is (2, 7)

The solution is also the point where the graph of the equations intersects.

Therefore, the graph of the two equations will intersect at Point (2, 7)