SOLUTION: I need all work and steps to this problem please. Solve by elimination method 2y=4x+10 Y=-1/2x-2 Is it a special system? Explain?

Question 701681: I need all work and steps to this problem please. Solve by elimination method
2y=4x+10
Y=-1/2x-2
Is it a special system? Explain?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
2y = 4x + 10
Y = -1/2x - 2
;
It's better if we put these equations into the standard form
-4x + 2y = 10
x + y = -2
:
Get rid of that annoying fraction, multiply the 2nd equation by 2
subtract the 1st equation
x + 2y = -4
-4x + 2y = 10
---------------- subtraction eliminates y, find x
5x = -14
x = -14/5
x = -2.8
:
Find y, using the eq x + 2y = -4, replace x with -2.8
-2.8 + 2y = -4
2y = -4 + 2.8
2y = -1.2
y = -1.2/2
y = -.6
:
The solution is: x = -2.8, y = -.6
:
;
You can check that in the original equations, replace x and y, see if equality reigns supreme

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