Question

if x+y= 12 and x-y =4 what is the value of y ?

Answer 1

$heya \: here \: is \: ur \: answer$

$x + y = 12$


$x = 12 -y$


$consider \: as \: equation$


$given \: x - y = 4$


$substitute \: x \: = 12 - y$


$12 - y - y = 4$

$12 - 2y = 4$

$- 2y = 4 - 12$

$- 2y = - 8$


$y = 4$

$thank \: you$

$hope \: it \: helps \: uh$

Answer 2

The value of y = 4

Given :

x + y = 12 and x - y = 4

To find :

The value of y

Solution :

Step 1 of 2 :

Write down given system of equations

Here the given system of equations are

x + y = 12 - - - - - - (1)

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

Step 2 of 2 :

Find the value of y

x + y = 12 - - - - - - (1)

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

Adding Equation 2 and Equation 1 to eliminate y we get

$\displaystyle \sf (x + y) + (x - y) = 12 + 4$

$\displaystyle \sf{ \implies }x + y + x - y=16$

$\displaystyle \sf{ \implies }2x=16$

$\displaystyle \sf{ \implies }x = \frac{16}{2}$

$\displaystyle \sf{ \implies }x = 8$

Putting x = 8 in Equation 1 we get

$\displaystyle \sf 8 + y = 12$

$\displaystyle \sf{ \implies }y = 12 - 8$

$\displaystyle \sf{ \implies }y = 4$

Therefore required solution is x = 8 , y = 4

Hence the required value of y = 4

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