Question

X + Y = to 2b x - y = 2a solve by comparison method ​

Answer 1

Given  : x + y = 2b

x - y  = 2a

To Find : Solve for x and y

Solution:

x + y = 2b

=> x = 2b - y

x - y  = 2a

=> x = 2a  + y

Compare x

2b - y  = 2a + y

=> 2b - 2a  = 2y

=> b - a = y

=> y  = b  - a

x + y = 2b

=> x + b - a  = 2b

=> x  = b + a

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Answer 2

SOLUTION

TO SOLVE

x + y = 2b and x - y = 2a by comparison method

EVALUATION

Here the given equations are

x + y = 2b - - - - - - - (1)

x - y = 2a - - - - - - - (2)

From Equation 1 we get

y = 2b - x - - - - - - (3)

From Equation 2 we get

y = x - 2a - - - - - (4)

From Equation 3 and Equation 4 Comparing values of y we get

2b - x = x - 2a

$\sf{ \implies \: - x - x = - 2a - 2b}$

$\sf{ \implies \: - 2x = - 2(a + b)}$

$\sf{ \implies \: x = (a + b)}$

From Equation 3 Putting the value of x we get

$\sf{y = 2b - (a + b)}$

$\sf{ \implies \: y = 2b - a - b}$

$\sf{ \implies \: y = b - a }$

FINAL ANSWER

Hence the required solution is

x = a + b and y = b - a

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