Apair of equations is shown below: y = 2x − 1 y = 4x − 5 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. part b: what is the solution to the pair of equations?

Hello!
Part 1:
You can solve the pair of equation graphically by writing the y-intercepts which are (0,-1) and (0,-5) Then follow the slopes of each line till the intercept. The slopes are up 2 over 1 and up 4 over 1 respectivily

Part 2:
When you graph these you get the answer of (2,3)

x is 2 and y is 3

Hope this helps!

answer:

step-by-step explanation:

A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.

B. (2,3)

You would graph the two equations and the point of intersection is your answer. The slope for y=2x-1 is 2 and the y-intercept is found when x=0, so the y-intercept is  y=2(0)-1   y=-1. The slope for y=4x-5 is 4.  The y-intercept is y=4(0)-5   y=-5
If you don't want to graph to solve the system of equations, ou can set them euqal to each other and solve for the variables:
2x-1=4x-5  >   2x=4x-4  >   -2x=-4  >   x=2
y=2(2)-1  >   y=4-1  >   y=3
y=4(2)-5  >   y=8-5  >   y=3
So x=2 and y=3, so the solution is  {2,3}