Question

Solve the following pair of linear equations for x and y: x/a+y/b=2, ax-by=a^2-b^2

Answer 1

there you go and all the best for exams

Answer 2

Answer:

x=a, y=b

Step-by-step explanation:

The given linear equations are

$\frac{x}{a}+\frac{y}{b}=2....(1)\\\\ax-by=a^2-b^2....(2)$

We'll solve this equation from elimination method

Multiply equation (1) with $b^2$ and then add with equation (2)

$\frac{xb^2}{a}+ax=2b^2+a^2-b^2\\\\x(\frac{a^2+b^2}{a})=a^2+b^2\\\\\frac{x}{a}=1\\\\x=a$

Substituting this value in equation (1)

$\frac{a}{a}+\frac{y}{b}=2\\\\\frac{y}{b}=1\\\\y=b$

Hence, the solutions are x=a, y=b