SOLUTION: y=3x-5 6x-3y=3

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Question 115284: y=3x-5
6x-3y=3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
6x-3y=3
y=3x-5



6x-3%283x-5%29=3 Plug in y=3x-5 into the first equation. In other words, replace each y with 3x-5. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


6x-9x%2B15=3 Distribute


-3x%2B15=3 Combine like terms on the left side


-3x=3-15Subtract 15 from both sides


-3x=-12 Combine like terms on the right side


x=%28-12%29%2F%28-3%29 Divide both sides by -3 to isolate x



x=4 Divide




Now that we know that x=4, we can plug this into y=3x-5 to find y



y=3%284%29-5 Substitute 4 for each x


y=7 Simplify


So our answer is x=4 and y=7