Question

A pair of equations is shown below:

y = 6x − 4
y = 5x − 3

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answer 1

The solution to the pair of equations is
`x=1,y=2`

Explanation:

The given equations are:

`y=6x-4`

`y=5x-3`

To solve the pair of equations graphically, we need to graph the two equations. Their point of intersection is the solution to the pair of equations.

The functions are in the form;

`y=mx+b`

where m=6 is the slope and b=-4 is the y-intercept of
`y=6x-4`.

and where m=5 is the slope and b=-3 is the y-intercept of
`y=5x-3`.

The two equations have been graphed in the attachment.

They intersected at (1,2).

The solution to the pair of equations is
`x=1,y=2`