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Solve by the elimination method 0.3x - 0.2y equals 4 0.2x 0.3y equals 5 over 23 What is the solution of the system Type an ordered pair. Type an integer or a fraction.?
Chubbersmom
0.3x - 0.2y = 4 (or you can multiply by 10 in order to work with whole numbers)
0.2x - 0.3y = 5/23
3x - 2y = 40
2x -3y = 50/23
2(3x) - 2(2y)= 2(40)
-3(2x) - (-3)(3y) = (-3)(50/23)
6x - 4y = 80
-6x +9y = -150/23
6x - 6x - 4y + 9y = 80 - 150/23
5y = 1690/23
y = (1690/23)/(5)
y = (1690/23)(1/5)
y = 338/23
2x - 3y = 50/23
2(338/23) - 3y = 50/23
676/23 -3y = 50/23
-3y = -676/23 + 60/23
-3y = -616/23
y = (-616/23)/(-3)
y = (-616/23)(-1/3)
y = 616/69
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