Question

x-2y = 4;x-y =3 in chapter pair of linear equations. find x and y ​

Answer 1

Answer

• x = 2
• y = - 1

Given

Pair of linear equations

• x - 2y = 4
• x - y = 3

To Find

• x and y values

Solution

x - 2y = 4 ... (1)

x - y = 3 ... (2)

On solving (2) - (1) , we get ,

⇒ ( x - y ) - ( x - 2y ) = 3 - 4

⇒ x - y - x + 2y = - 1

⇒ y = - 1

On sub. y value in (1) , we get ,

⇒ x - [2(-1)] = 4

⇒ x + 2 = 4

⇒ x = 4 - 2

⇒ x = 2

Answer 2

$\rm\huge\green{\underline{\underline{ Question : }}}$

x - 2y = 4 ; x - y = 3 Find the values of x & y.

$\rm\huge\green{\underline{\underline{ Solution : }}}$

★ Given that,

• x - 2y = 4
• x - y = 3

★ To find,

• Values of x & y.

★ Let,

• x - 2y = 4 ..... (1)
• x - y = 3 ..... (2)

From the equations (1) & (2), we get,

$\sf\:\implies - y = 1$

$\sf\:\implies y = - 1$

$\boxed{ y = - 1 }$

• Substitute the value of y in (2).

$\sf\:\implies x - (-1) = 3$

$\sf\:\implies x + 1 = 3$

$\sf\:\implies x = 3 - 1$

$\sf\:\implies x =2$

$\boxed{ x = 2 }$

★ Verification,

Substitute the values of x & y in the equation (1).

$\sf\:\implies 2 - 2(-1)$

$\sf\:\implies 2 + 2$

$\sf\:\implies 4$

Hence, LHS = RHS.It is verified...

$\underline{\boxed{\bf{\purple{ \therefore x = 2 , y = - 1.}}}}\:\orange{\bigstar}$