solving systems by graphing

User Generated

OunjxfSnaFghql

Mathematics

Description

I am stuck on this problem and I have a quiz with these problems tommorow! How do I solve 3x+4y=8 and x-2y=6 and graph it?

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Ok first you solve for y (y=x format)

3x+4y=8

4y=8-3x

Divide by 4

y=2-(3/4)x

now you know the slope is -3/4 and the y intercept is 2

How to graph: Knowing the y-intercept is 2, plot a point at (0,2) "x=0, y=2", and trace a point backwards from there using the slope until the x-axis is reached

Rise over run method


Now how to trace this starting from a single point y=2 and x=0, excuse my mouse writing:

You trace the pencil down -3 spaces, then go over +4 spaces, then trace a full line when have enough points.


x-2y=6

-2y=6-x

Divide by -2

y=-3+(1/2)x

Here you know the y intercept is -3 and the slope (rise over run) is (1/2)

Use the same method to graph this starting at y=-3 and x=0

Here starting at (0,-3), you would trace up one point (positive 1), then over 2, then repeating again until you have enough points to plot a long line for the graph.


Let me know if you need any other advice and good luck.


Anonymous
Super useful! Studypool never disappoints.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags