Question

6x + 5y = 7x+3y + 1 = 2(x + 6y - 1)
Find the value of x & y by substitution method

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Answer 1

this answer may help you

Answer 2

Answer:

x = 3, y = 2

Step-by-step explanation:

We have:

6x + 5y = 7x + 3y + 1 = 2(x + 6y - 1).

(i) 6x + 5y = 2(x + 6y - 1)

(ii) 6x + 5y = 7x + 3y + 1.

On solving equation (ii), we get

⇒ 6x + 5y = 7x + 3y + 1

⇒ -x + 2y = 1

⇒ x - 2y = -1

⇒ x = 2y - 1    ----- (iii)

Substitute x = 2y - 1 in (i), we get

⇒ 6x + 5y = 2(x + 6y - 1)

⇒ 6x + 5y = 2x + 12y - 2

⇒ 4x - 7y = -2

⇒ 4(2y - 1) - 7y = -2

⇒ 8y - 4 - 7y = -2

⇒ y = 2

Substitute y = 2 in (iii), we get

⇒ x = 2y - 1

⇒ x = 3

∴ The values of x & y are 3 and 2

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