3x+2y=12,5x-2y=4 by substitution method
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Answer:
x = 2 and y = 3
Step-by-step explanation:
5x - 2y = 4..(1)
Now,
3x + 2y = 12...(2)
3x = 12 - 2y
x = (12 - 2y)/3...(3)
Substituting (3) into (1),
5(12-2y)/3 - 2y = 4
(60-10y)/3 - 2y = 4
(60-10y)/3 - 6y/3 =4
(60 - 10y - 6y)/3 = 4
60 - 10y - 6y = 12
-16y = 12-60 = -48
16y = 48
Therefore, y = 48/16 = 3.
Substituting y = 3 into (2).
3x = 12 - 6 = 6
Therefore, x = 6/3 = 2.
Thus, x = 2 and y = 3.
Hope this helps you!
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