SOLUTION: Do these linear equations have one solution, or more? If more, than how many and what are they? Can you show me how you got them. And I'd also like to know if they have infinite so

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Question 632857: Do these linear equations have one solution, or more? If more, than how many and what are they? Can you show me how you got them. And I'd also like to know if they have infinite solutions. Please help.
2x - 4y = 5
3x + 2y = 6
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Try to solve it and see
:
2x - 4y = 5
3x + 2y = 6
multiply the 2nd equation by 2 and add to the 1st solution
2x - 4y = 5
6x + 4y = 12
----------------Addition eliminates y, find x
8x = 17
x = 17/8
x = 2.125
use the 2nd original equation to find y, replace x with 2.125
3(2.125) + 2y = 6
6.375 + 2y = 6
2y = 6 - 6.375
2y = -.375
2y = -.375/2
y = -.1875
:
:
Confirm our solutions of x=2.125 and y=-.1875 using the 1st equation
2(2.125) - 4(-.1875) =
4.25 + .75 = 5
:'
We can say this system of equations has only one solution