Question 701681
2y = 4x + 10
Y = -1/2x - 2
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It's better if we put these equations into the standard form
-4x + 2y = 10
{{{1/2}}}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
:
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You can check that in the original equations, replace x and y, see if equality reigns supreme