Question

What is the value of simulaneous equation 3×-2y=6 and 2×+y=11​

Answer 1

EXPLANATION.

⇒ 3x - 2y = 6. - - - - - (1).

⇒ 2x + y = 11. - - - - - (2).

As we know that,

We can write equation (2) as,

⇒ y = 11 - 2x. - - - - - (2).

Put the values of y = 11 - 2x in equation (1), we get.

⇒ 3x - 2(11 - 2x) = 6.

⇒ 3x - 22 + 4x = 6.

⇒ 7x - 22 = 6.

⇒ 7x = 6 + 22.

⇒ 7x = 28.

⇒ x = 4.

Put the value of x = 4 in equation (2), we get.

⇒ y = 11 - 2x.

⇒ y = 11 - 2(4).

⇒ y = 11 - 8.

⇒ y = 3.

Values of x = 4  and  y = 3.

Answer 2

Step-by-step explanation:

$\rm⇢ \: \: 3x - 2y = 6 \: \: \: = = > \: eq(1)$

$\rm⇢ \: \: 2x + y = 11 \: \: = = > \: eq(2)$

From Equation(2) ,

$\rm⇢ \: \boxed{ \rm y = 11 - 2x}$

Then, put the value of y in equation(1) . we get,

$\rm⇢ \: \: 3x - 2(11 - 2x) = 6$

$\rm⇢ \: \: 3x - 22 + 4x = 6$

$\rm⇢ \: \: 3x + 4x = 6 + 22$

$\rm⇢ \: \: 7x = 28$

$\rm⇢ \: \boxed{ \orange{ \bf x = 4}}$

Then, put x = 4 in value of y , we get

$\rm⇢ \: \: y = 11 - 2(4)$

$\rm⇢ \: \: y = 11 - 8$

$\rm⇢ \: \: \boxed{ \orange{ \bf y = 3}}$

FINAL ANSWER :

The Value of x is 4 .

The Value of y is 3 .