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Answer:
(2, -4)
Step-by-step explanation:
1/2 x + 3/4 y = -2
2/3 x + 5/6 y = -2
4 (1/2 x + 3/4 y = -2 ) = -2(2x + 3y = -8) Multiply by -2 to eliminate the x's
6 (2/3 x + 5/6 y = -2) = (4x + 5y = -12)
<u> -4x - 6y = 16 </u> combine with the 2nd equation
-1y = 4
y = -4
plug -4 in for y to find x in either equation
1/2x + 3/4 (-4) =-2
1/2x - 3 = -2
1/2x = 1
x = 2
(2, -4)
The answer is 2/7 because you're finding the greatest common factor of both numbers. The gcf is 8, so divide both by 8 and you'll get 2/7
X - the number
The two possible solutions are
-3 or 4.