Question

x - 5/3= y+2/7; 2x = 1 +3y. Find x &y​

Answer 1

Answer:

x = 8

y = 5

Step-by-step explanation:

Given :

1st equation : ${\sf{\ \ {\dfrac{x - 5}{3}} = {\dfrac{y + 2}{7}} }}$

Cross - multiplying the terms, we get

→ 7(x - 5) = 3(y + 2)

→ 7(x) + 7(- 5) = 3(y) + 3(2)

→ 7x - 35 = 3y + 6

Transposing the terms, we get

→ 7x - 3y = 6 + 35

→ 7x - 3y = 41 ...(1)

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2nd equation : 2x = 1 + 3y

→ 2x - 3y = 1 ...(2)

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Subtracting (1) and (2), we get

→ (7x - 3y) - (2x - 3y) = 41 - 1

→ 7x - 3y - 2x + 3y = 40

→ 5x = 40

→ x = 40/5

→ x = 8

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Putting this value in (2), we get

→ 2(8) - 3y = 1

→ 16 - 3y = 1

→ 3y = 16 - 1

→ 3y = 15

→ y = 15/3

→ y = 5