Question

(a+b)x + (a-b)y = a²+b²
(a-b)x + (a+b)y = a+b²
Solve by elumination method​

Answer 1

Step-by-step explanation:

(a+b)b + (a-b)y = a^2+b^2

here multiply x with (a+b) and y with (a-b)

you will get ax+bx and ay-by = a^2+b^2

now ax+bx+ay-by = a^2+ b^2 (eq 1)

next (a-b)x + (a+b)y = a+b^2

here also multiply x with (a-b) and y with (a+b)

you will get ax-bx and ay+by = a+b^2

now ax-bx + ay+by = a+b^2 (eq 2)

subtract eq1 anf eq2

ax+bx+ay-by=a^2+b^2

ax-bx+ay+by=a+b^2

2ax-2ay=2a^2+2b^2 ( +bx-bx cancel and -by+by cancel elemination method )

2ax-2ay=2a^2+2b^2 (lets take 2 as common)

2(ax-ay)=2(a^2+b^2) [2 on LHS nd 2 on RHS gets cancelled ]

ax-ay=a^2+b^2 this is the answer

hope this helps you

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