SOLUTION: am having problems with this. please help. solve by substitution. y=2x+3 and 4x-3y= 1

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Question 270305: am having problems with this. please help. solve by substitution. y=2x+3 and 4x-3y= 1
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Plug y=2x%2B3 into 4x-3y=1. In other words, replace each 'y' in 4x-3y=1 with '2x+3' to get 4x-3%282x%2B3%29=1. Solve this equation to find the value of 'x'. Once you have the value of 'x', use it to find the value of 'y'.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






This is already set up for substitution because you have one of your equations as in terms of everything else. So just substitute the expression in into the second equation in the place of , like this:



Simplify and collect like terms:





Finally, solve for . Once you have a value for , substitute that value into either of the original equations and then solve for . The calculated and form an ordered pair that is the solution set of your system.


John