Math, asked by omkar200227, 1 year ago

can anyone solve this linear eqn by substitution method

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Answered by priyataneja

sry for the bad handwritting

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omkar200227: y = b....?

omkar200227: plz take a look at u r solution i think itz wrong

omkar200227: some sign mistakes r there

omkar200227: thnx for help

priyataneja: no mate this is correct

omkar200227: see LHS there is - ab if it go to LHS it becomes positive

omkar200227: i think u will understand what am saying....

priyataneja: okay so the answer come will be y=-b

omkar200227: yeah... that's the right answer thnkuuu for helping.

priyataneja: wlcme

Answered by siddhartharao77

Given Equation is x + y = a - b ----- (1)

Given Equation is ax - by = a^2 + b^2 ----- (2)

Equation (1) can be written as:

= > x = a - b - y ------ (3)

Substitute (3) in (2), we get

= > ax - by = a^2 + b^2

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

= > a^2 - ab - ay - by = a^2 + b^2

= > -ab - by = b^2 + ab

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

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

= > -y = b

= > y = -b

Substitute y = -b in (1), we get

= > x + y = a - b

= > x - b = a - b

= > x = a - b + b

= > x = a.

Therefore the value of x = a and y = -b.

Hope this helps!

siddhartharao77: Is possible brainliest it!

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