SOLUTION: I hope this is posted in the correct place. I need some help I do not understand how to do this. Thanks for any help you can give. solve by elimination process and type an ordered

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Question 127163: I hope this is posted in the correct place. I need some help I do not understand how to do this. Thanks for any help you can give.
solve by elimination process and type an ordered pair.
4x - 9y = 14.5
7y - 2x = -8.5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Eq. 1: 4x+-+9y+=+14.5
Eq. 2: 7y+-+2x+=+-8.5

Start by putting the equations into standard form: Ax%2BBy=C

Eq. 1: 4x+-+9y+=+14.5
Eq. 2: -2x+%2B+7y+=+-8.5

Let's start by eliminating the y variable. We need a constant to multiply the first equation and another constant to multiply the second equation so that the coefficients on the y variables become additive inverses. 7 * -9 = -63 and 9 * 7 = 63. That should work.

Eq. 3: 28x+-+63y+=+101.5
Eq. 4: -18x+%2B63y+=+-76.5

Now add the x terms together, the y terms together, and the constants together to create another equation that has a zero coefficient on y.

Eq. 5: 10x+%2B+0y+=+25
10x=25
x=2.5

Go back to the original set of equations:
Eq. 1: 4x+-+9y+=+14.5
Eq. 2: -2x+%2B+7y+=+-8.5

But this time, just multiply equation 2 by 2:
Eq. 6: 4x+-+9y+=+14.5
Eq. 7: -4x+%2B+14y+=+-17

Add the equations to eliminate x
Eq. 8: 0x%2B5y=-2.5
y=-.5

Your solution set is (2.5,-.5)