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aksik [14]
3 years ago
11

50x+30y= 550 what is x and y

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

<u>x = 8 and y = 5</u>

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

<u>So, x = 8 and y = 5</u>

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