Question

x+y=4 , 2x+3y =6, find the value of x and y​

Answer 1

Given:

• x+y = 4

• 2x+3y= 6.

To find :

• x and y.

Solution:

• x+ y = 4

=> x = 4 - y

put x in :

• 2x + 3y = 6

=> 2 (4-y)+3y = 6

=> 8 - 2y +3y = 6

=> y = 6 - 8

=> y = -2 .

Now, put y in x+y= 4.

=> x+(-2)= 4

=> x - 2 = 4

=> x = 4+2

=> x= 6.

Hence, the value of x is 6 and y is -2.

Answer 2

★ GivEn :-

Two Equations x + y = 4 and 2x + 3 y = 6

To FinD :-

• The Value of x and y

SoluTiOn :-

$\bold{ \pink{x + y = 4}{} }{}$

Here x = 4 - y

$\bold{ \purple{Put \: The \: Value \: of \: x \: in \: 2x + 3y = 6}{} }{}$

We get That,

$2(4 - y) + 3y = 6 \\ \\ 8 - 2y - 3y = 6 \\ \\ y = 6 - 8 \\ \\ y = - 2$

$\bold{ \purple{Put \: The \: Value \: of \: x \: in \: x + y = 4}{} }{}$

$x + ( - 2) = 4 \\ \\ x = 4 + 2 \\ \\ x = 6$

$\boxed{ \bold{ \red{★Hence \: x = 6 \: and \: y = - 2}{} }{} }{}$