# Solvin equations and finding plots

label Algebra
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-x+y=3

x+y=7

Use the elimination system to solve the equation( ordered pair)

Sep 13th, 2015

The elimination method requires to subtract the two equations, to solve for a single variable.

Step 1: See if there is a common coefficient, or multiply to get a common coefficient. Notice in this case, the y's have the same coefficient of 1. Therefore when you subtract these two equations, the y's will go away and leave us to solve for x.

-x+y=3

x+y=7

-x-x=-2x

y-y=0

3-7=-4

Thus we have

-2x=-4 (divide by -2 to both sides)

x=2

Step 2: Solve for y using x=2

Let's use the first equation.

-x+y=3

-2+y=3 (add two to both sides)

y=5.

-2+5=3 check!

2+5=7 check!

Thus our order pair is (2,5). (Remember that coordinate pairs are (x,y).

Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 13th, 2015

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Sep 13th, 2015
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Sep 13th, 2015
Nov 25th, 2017
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