SOLUTION: What is the solution to the system of equations y=10-3x 4x-6y=16

Question 291011: What is the solution to the system of equations
y=10-3x
4x-6y=16
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

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.

Go back to the first equation.

Plug in

Multiply

Combine like terms.

So the solutions are and which form the ordered pair

. Graphically, this means that the two equations intersect at the point

.
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