Question

(ii) 3x+4y= 10 और 2x-2y=2​

Answer 1

EXPLANATION.

Linear equations in two variable.

⇒ 3x + 4y = 10. - - - - - (1).

⇒ 2x - 2y = 2. - - - - - (2).

As we know that,

We can write equation (2) as,

⇒ 2x - 2y = 2. - - - - - (2).

⇒ 2(x - y) = 2.

⇒ x - y = 1. - - - - - (2).

⇒ x = 1 + y. - - - - - (2).

Put the value of equation (2) in equation (1), we get.

⇒ 3x + 4y = 10. - - - - - (1).

⇒ 3(1 + y) + 4y = 10.

⇒ 3 + 3y + 4y = 10.

⇒ 7y = 10 - 3.

⇒ 7y = 7.

⇒ y = 1.

Put the value of y = 1 in equation (2), we get.

⇒ x = 1 + y. - - - - - (2).

⇒ x = 1 + 1.

⇒ x = 2.

Values of : x = 2  and  y = 1.

Answer 2

3x+4y=10 ----(1)

2x-2y=2

x-y=1

x=y+1 ---(2)

(1)➡

3(y+1)+4y=10

3y+3+4y=10

7y=7

y=1

(2)➡

x=1+1

x=2

so x=2 and y=1