how to solve??

Question

a/x+b-b/y-a=1

b/x+b-a/y-a=1

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Answer 1

Step 1:

The system of equations are and .

Consider .

Add on each side.

.

Divide each side by .

Step 2:

Consider .

Rewrite the equation.

Substitute in the above equation.

Rewrite the expression.

Take LCD of the denominator.

Multiply on each side by .

Rewrite the expression such that like terms are on one side.

Multiply on each side by .

.

Algebraic formula: .

Divide each side by .

Subtract each side by .

Multiply on each side by .

.

Comments

Step 3:

Substitute in (1).

Take LCD of the denominator.

Since the numerators are equal, equate the denominators.

Solutions of the system of equations are and .

Check :

Consider .

Substitute and .

Therefore solutions of the system of equations are and .

Solution :

Solutions of the system of equations are and .