Substitution and find plots

label Algebra
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3x+2y=9

2x-3y=-7

Sep 11th, 2015

Thank you for the opportunity to help you with your question!

3x +2y =9

2x-3y=-7

lets express x in terms of y

x=9/3-2/3y

y=3-2/3y

plug it in to second eq:

2(3-2/3y) -3y=-7

Solving...

6-4/3y-3y=-7

Move the ys to the other side

6+7=4/3y +3y

13=4 1/3y

13=13/3y

y=(13/ (13/3))

y=(13 x 3)/13

y=3


plug it in first eq:

x=3-2/3y

x= 3-( 2/3 x(3))

x=1


Plots  Eq1 3x+2y=9

(1,3),  (3,0) (1, 3)

Eq 2

2x-3y=-7

(1,3)  (-2,1)



Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 11th, 2015

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