Question

Find the value of x-y, if 5x+4y=14 and 4x+5y=13 *​

Answer 1

Answer:

1

Step-by-step explanation:

$5x+4y=14$     (given)

Multiplying the equation by 4, we get -

$20x+16y=56 \, \, \, \, .............(1)$

Also, $4x+5y=13$     (given)

Multiplying the equation by 5, we get -

$20x+25y=65 \, \, \, \, .............(2)$

Subtracting equation (1) from equation (2), we get -

$20x+25y-20x-16y=65-56\\=> 9y = 19\\=> y = 1$

Substituting the value of y in equation (1), we get -

$20x+16(1)=56\\=> 20x=40\\=> x=2$

Now, $x-y=2-1=1$