Question

if 19x-17y = 55 and 17x-19y = 53, then the value of x-y is:

Answer 1

value of x - y is 3 if 19x - 17y= 55 and 17x – 19y=53

Given:

• 19x - 17y= 55     Eq1
• 17x – 19y=53     Eq1

To Find:

• value of x - y

Solution:

Step 1:

Add Eq1 and Eq2

19x - 17y + 17x - 19y = 55 + 53

Step 2:

Combine like terms

19x + 17x - 17y - 19y = 55 + 53

=> 36x - 36y  = 108

Step 3:

Divide both sides by 36

x -  y  = 3

Value of x - y is 3

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