Question

Find the value of x - y, if 3x + 4y = 11 and 4x + 3y = 12​

Answer 1

The value of x - y = 1

Given :

The equations 3x + 4y = 11 and 4x + 3y = 12

To find :

The value of x - y

Solution :

Step 1 of 2 :

Write down the given equations

Here the given system of equations are

3x + 4y = 11 - - - - - - - (1)

4x + 3y = 12 - - - - - - - (2)

Step 2 of 2 :

Find the value of x - y

Equation 2 - Equation 1 gives

$\displaystyle \sf{(4x + 3y) - (3x + 4y) = 12 - 11}$

$\displaystyle \sf{ \implies 4x + 3y - 3x - 4y = 1}$

$\displaystyle \sf{ \implies 4x - 3x + 3y - 4y = 1}$

$\displaystyle \sf{ \implies x - y = 1}$

Hence the value of x - y = 1

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Answer 2

Answer:

The correct answer of this question is $x - y = 1$

Step-by-step explanation:

Given -  x - y, if 3x + 4y = 11 and 4x + 3y = 12​

To Find - Find the value of x - y, if 3x + 4y = 11 and 4x + 3y = 12​

3 x + 4 y = 11 - - - - - - - (1)

4x + 3y =  12 - - - - - - - (2)

Find the equation 2 - equation 1 gives

$(4 x + 3 y) - (3x + 4y) = 12 - 11 \\4 x + 3 y - 3x - 4y = 1\\4 x - 3 y + 3x - 4y \\x - y = 1$

So, the value of $x - y = 1$

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