Question

Write any two solutions of 12x – 8y + 35 = 0​

Answer 1

Answer:

Step-by-step explanation:

3x + 2y = 18 .        (i)

4x + 5y = 25 .       (ii)

Let us multiply equation (i) by 4 on both sides and equation (ii) by 3 on both sides, so as to make coefficients of ‘x’ equal.

On multiplying, we get;

4(3x + 2y) = 4 ∙ 18

or, 12x + 8y = 72       (iii)

and

3(4x + 5y) = 3 ∙ 25

or, 12x + 15y = 75        (iv)

Subtracting (iii) from (iv), we get;

12x + 15y - (12x + 8y) = 75 - 72

or, 12x + 15y - 12x - 8y = 3

or, 7y = 3

or, y = 37.

Substituting value of ‘y’ in equation (i), we get;

3x + 2(37) = 18.

or, 3x + 67 = 18

or, 3x = 18 – 67

or, 3x = 1207.

or, x = 12021.

or, x = 407.

Hence, x = 407 and y = 37.