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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.

Step 3: Check your work.

-2+5=3 check!

2+5=7 check!

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

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Sep 13th, 2015

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