Question

If 4x+5y=20 and 5x+4y=25, then what is the value of x+y=?​

Answer 1

Answer:

4x+5y=20

5x+4y=25

x+y= 5

where x=5 and y=0

Answer 2

SOLUTION

GIVEN

4x + 5y = 20 and 5x + 4y = 25

TO DETERMINE

The value of x + y

EVALUATION

Here the given two equations are

4x + 5y = 20 - - - - - - (1)

5x + 4y = 25 - - - - - - - (2)

Equation 1 + Equation 2 gives

9x + 9y = 45

$\implies \sf{9(x + y) = 45}$

$\implies \sf{(x + y) = 5}$

FINAL ANSWER

Hence the required value of x + y = 5

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