SOLUTION: Solve by substitution method: (x+2)/5 = (y-1)/2 and (x-1)/2 - (2y+1)/3 = 1 How to do this? Please have steps

Algebra ->  Expressions -> SOLUTION: Solve by substitution method: (x+2)/5 = (y-1)/2 and (x-1)/2 - (2y+1)/3 = 1 How to do this? Please have steps      Log On


   

Question 1033372: Solve by substitution method:
(x+2)/5 = (y-1)/2
and
(x-1)/2 - (2y+1)/3 = 1
How to do this? Please have steps
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Pick an equation and solve for a variable in terms of the other variable. SUBSTITUTE this into the other equation and solve this.

SUBSTITUTE that solution into the first picked equation and solve that.

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve by substitution method:
(x+2)/5 = (y-1)/2
and
(x-1)/2 - (2y+1)/3 = 1
How to do this? Please have steps
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

%28x%2B2%29%2F5 = %28y-1%29%2F2+,           (1)
%28x-1%29%2F2 - %282y%2B1%29%2F3 = 1.    (2)
 
From (1), x + 2 = %285%28y-1%29%29%2F2.

Hence, x - 1 = %285%28y-1%29%29%2F2+-+3 = %285y+-+5+-+6%29%2F2 = %285y-11%29%2F2.
Now, substitute this expression for (x-1) into equation (2). You will get

%285y-11%29%2F4 - %282y%2B1%29%2F3 = 1.

It is a single equation for y.

Can you solve it yourself?

I think from this point you can complete this assignment.