Question

If x + y is 6 and 2x + 3 y is 12 find the value of x & y?

Answer 1

Answer:

value of x and y are 6 and 0 respectively

Answer 2

Given: x + y = 6 and 2x + 3y = 12.

To find: The value of x and y.

Answer:

Let x + y = 6 be equation 1 and 2x + 3y = 12 be equation 2.

From equation 1,

x = 6 - y

Substituting the above value in equation 2,

2(6 - y) + 3y = 12

12 - 2y + 3y = 12

-y = 12 - 12

y = 0.

Substituting the above value in equation 1,

x + 0 = 6

x = 6

Verification:

Equation 1:

LHS: x + y

RHS: 6

Using the values of x and y in LHS,

6 + 0 = 6

LHS = RHS

Equation 2:

LHS: 2x + 3y

RHS: 12

Using the values of x and y in LHS,

2*6 + 3*0 = 12 + 0 = 12

LHS = RHS

Therefore, x = 6 and y = 0.