Question

5x-4y+8=0 7x+6y-9=0​

Answer 1

Required Answer:-

Given:

• 5x - 4y + 8 = 0
• 7x + 6y - 9 = 0

To find:

• The value of x and,
• The value of y.

Solution:

Given,

➡ 5x - 4y + 8 = 0

➡ 5x - 4y = -8 —(i)

Again,

➡ 7x + 6y - 9 = 0

➡ 7x + 6y = 9 —(ii)

Multiplying equation (i) by 6, we get,

➡ 30x - 24y = -48 —(iii)

Multiplying equation (ii) by 4,we get,

➡ 28x + 24x = 36 —(iv)

Adding equations (iii) and (iv), we get,

➡ 58x = -12

➡ x = -12/58

➡ x = -6/29

Now,

➡ 7x + 6y - 9 = 0

➡ (7 × -6)/29 + 6y = 9

➡ -42/29 + 6y = 9

➡ 6y = 9 + 42/29

➡ 6y = (9 × 29 + 42)/29

➡ 6y = 303/29

➡ y = 303/(29 × 6)

➡ y = 101/58

Hence,

x = -6/29 and,

y = 101/58

Answer:

• x = -6/29 and
• y = 101/58

Answer 2

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