SOLUTION: Solve by elimination 8x-9y=24.5 7y-2x=-8.5

Question 192047: Solve by elimination

8x-9y=24.5
7y-2x=-8.5

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the first equation.

Multiply EVERY term by 10 to make every number a whole number

Move onto the second equation

Rearrange the terms.

Multiply EVERY term by 10 to make every number a whole number

So we have the system of equations:

Multiply the both sides of the second equation by 4.

Distribute and multiply.

So we have the new system of equations:

Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms.

Simplify.

Divide both sides by to isolate .

Reduce.

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.
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