SOLUTION: Solve the given system by use of substitution: 4m+n=26 m-3n=26

Question 202418: Solve the given system by use of substitution:

4m+n=26
m-3n=26
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Start with the first equation.

Subtract from both sides.

Rearrange the terms.

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Move onto the second equation.

Now plug in .

Distribute.

Combine like terms on the left side.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Since we know that , we can use this to find .

Go back to the first equation.

Plug in .

Multiply.

Subtract from both sides.

Combine like terms on the right side.

So the solutions are and .

This means that the system is consistent and independent.

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