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# Solution of System of Equation

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Estimate the solution to the following system of equations by graphing.

Equations:

5x-4y=-20

4x+y=7

a.) x = 11/2 & y = 1/3

b.) x = 1/3 & y = 11/3

c.) x = 1/3 & y = 11/2

d.) x = 11/3 & y = 1/3

If you can you elaborate on how you got your answer so I know what to do, thanks! BTW: it's me APatel, don't know if you remember me but it's been a while but I forgot my login credentials...

Oct 15, 2020

#1
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Hi APatel :)

Here is a simple way on how to solve this problem.

We can rearrange some of the numbers and variables and find that:

The y-intercept of the first equation is 5.

The x-intercept of the first equation is 4.

The y-intercept of the second equation is 7.

The x-intercept of the second equation is 7/4.

The slope of the first equation is positive.

The slope of the second equation is negative.

If you need more help I'll be happy to help! :)

Oct 15, 2020
#2
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Since your Q asks for a graphical solution,...here are the graphs from Desmos.....where they intersect is the solution Oct 15, 2020
#3
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Another good site (kind of like Desmos) is GeoGebra. :) Hope this helps you in the future

https://www.geogebra.org/calculator

Oct 16, 2020