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Mathematics
Whitney Woods
31 October, 21:32
50x+30y = 550 what is x and y
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Ray Dudley
1 November, 00:21
0
x = 8 and y = 5
Step-by-step explanation:
The question is as following:
what is x and y for the following system of equations:
50x + 30 y = 550 ⇒ (1)
44x + 36 y = 532 ⇒ (2)
Subtract (1) - (2)
∴ 6x - 6y = 18
Divide both sides by 6
∴ x - y = 3
∴ x = 3 + y ⇒ (3)
Substitute with the value of x at (1)
50 (3+y) + 30y = 550
Solve for y
150 + 50y + 30y = 550
80y = 550 - 150 = 400
∴ y = 400/80 = 5
Substitute with the value of y at (3)
∴ x = 3 + y = 3 + 5 = 8
So, x = 8 and y = 5
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