SOLUTION: 3x+2y=10 2x+3y=10 How do Yu Slove this problem using substitution?

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Question 399667: 3x+2y=10
2x+3y=10
How do Yu Slove this problem using substitution?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B2y=10
2x%2B3y=10
Slove this problem using substitution
From the first equation express y:
3x%2B2y=10, 2y=10-3x, y=%2810-3x%29%2F2, y=10%2F2-%283x%29%2F2, y=5-%283x%29%2F2
substitute y=5-%283x%29%2F2 in the second equation 2x%2B3y=10
2x%2B3%2A%285-%283x%29%2F2%29=10
2x%2B15-%289x%29%2F2=10
2x-%289x%29%2F2=10-15
%284x-9x%29%2F2=-5
%28-5x%29%2F2=-5
x=%28-5%29%2F%28-5%2F2%29
x=2
Put x=2 in y=5-%283x%29%2F2
y=5-%283%2A2%29%2F2
y=5-3
y=2
Answer x=2,y=2