SOLUTION: Solve by substitution method. x=2y+3 and 3x+5y=1 I know what to do, but I don't know where to start with this one! Help

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Question 1024486: Solve by substitution method. x=2y+3 and 3x+5y=1
I know what to do, but I don't know where to start with this one! Help

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve by substitution method. x=2y+3 and 3x+5y=1
I know what to do, but I don't know where to start with this one! Help
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x = 2y + 3,      (1)
3x + 5y = 1.     (2)

You just have x expressed via y in the equation (1).
So, simply substitute it for x into equation (2). You will get a single equation for y

3*(2y + 3) + 5y = 1.

Simplify and solve for y:

6y + 9 + 5y = 1,

11y = 1 - 9,

11y = -8,

y = -8%2F11.  So, you just have y.

Now substitute it into (1) and find x.