Posted by **Cam** on Wednesday, March 20, 2013 at 11:28am.

I need help solving these problems by using the substitution problem

2x-3y=16

5x+2y=21

- College Math -
**Steve**, Wednesday, March 20, 2013 at 11:50am
substitution is a method, not a problem (though it appears to be a problem for you! :-)

taking the first equation, solve for x or y:

x = (16+3y)/2

now "substitute" that into the other equation

5(16+3y)/2 + 2y = 21

80+15y + 4y = 42

19y = -38

y = -2

so, x = (16-6)/2 = 5

check that (5,-2) fits both original equations, just to be sure

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