SOLUTION: 5x - 3y = 8 -5x + y = 4

Question 550363: 5x - 3y = 8
-5x + y = 4

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

Start with the given system of equations:

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.

Notice when we graph the equations, we see that they intersect at

. So this visually verifies our answer.

Graph of (red) and (green)

RELATED QUESTIONS
solve using the elimimnation method 5x-3y=8... (answered by mananth)

-5x+3y=6... (answered by ewatrrr)

15x-3y=12,... (answered by tommyt3rd)

8(5x + 3y -... (answered by rfer)

(-6x+y)-(3y-5x) (answered by fractalier)

What is the slope using the elimination method! 5x -3y =8 -5x + y =4 Thank you... (answered by lynnlo)

Solve each system of inequalities by graphing x+8/3y=12 1/2x+4/3y=5 I tried x+8/3y=12 (answered by stanbon)

-5x+3y=51 y=10x-8 x=?... (answered by TimothyLamb)

5x-3y=8 and... (answered by lynnlo)