Thursday, September 17, 2009

explaining the substitution method :

2x+4y=8
3x+y=-13

start with the y that has 1 for a coefficent
then start to solve it by geting the y to the other side to get it into y=mx+b form
3x+y=-13
y=-3x-13
now you have what equals y so you can substitute it into the next equation
2x+4y=8
2x+4(-3x-13)=8
then solve
2x-12x-52=8
collect like terms
-10x=8+52
-10x=60
then divide to get x by itself
-10x/-10=60/-10
then x by itself
x=-6
then plug that in to either equation to get the y intercept to ge the ordered pair
2x+4y=8
2(-6)+4y=8
-12+4y=8
12-12+4y=8+12
4y/4=20/4
therefore y=5
then the ordered pair would be
(-6,5)

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