SOLUTION: help me pls to solve this system of equation by substitution?
-3x+3y=4,-x+y=3
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Question 325293: help me pls to solve this system of equation by substitution?
-3x+3y=4,-x+y=3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:
Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.
So let's isolate y in the second equation
Start with the second equation
Add to both sides
Rearrange the equation
---------------------
Since , we can now replace each in the second equation with to solve for
Plug in into the second equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.
Distribute to
Multiply
Combine like terms on the left side
Subtract 9 from both sides
Combine like terms on the right side
Since this equation is NEVER true for any x value, this means there are no solutions.
So the system is inconsistent.
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