Question

Solve the following equations:
x+ y = a-b
ax+by=a²+ b²​

Answer 1

GIVEN:

• x+y = a-b
• ax+by = a²+b²

TO FIND:

• Value of 'x' and 'y'.

SOLUTION:

Case 1

=> x+y = a-b ......(i)

Multiplying both sides by 'a'.

=> ax+ay = a²-ab ....(ii)

Case 2

=> ax+by = a²+b²

Multiplying both sides by 1.

=> ax+by = a²+b² ...(iii)

Subtracting eq(ii) from (iii)

=> (ax+by)-(ax+ay) = (a²+b²)-(a²-ab)

=> ax+by-ax-ay = a²+b²-a²+ab

=> by-ay = b(a+b)

=> y(b-a) = b(a+b)

=> y = [b(a+b)]/(b-a)

$putting \: y = \dfrac{b(a + b)}{(b - a)} \: in \: eq(i) \\ \\ \implies \: x + \frac{ab + b {}^{2} }{b - a} = a - b \\ \\ \implies \: x \: = (a - b) - \frac{ab + b {}^{2} }{b - a} \\ \\ \implies \: x = \frac{(a - b)(b - a) - ab - b {}^{2} }{b - a} \\ \\ \implies \: x \: = \frac{ab - a {}^{2} - b {}^{2} + ab - ab - b {}^{2} }{b - a} \\ \\ \implies \: x = \frac{ab - a {}^{2} - 2b {}^{2} }{b - a} \\ \\ \implies \: x \: = \frac{a {}^{2} + 2b {}^{2} - ab }{a - b}$

Answer 2

Answer:

dear...ur answer is in this attachment please kindly refer to the attachment and no need to mark me as brainlist but pls say how u verified answer what is the method to verify answer pls say in my questions....I hope this helps u ☺️☺️