Question

If 4x + 3y = 24,3x + 4y = 25,then value of x + y is​

Answer 1

Step-by-step explanation:

7x+ 7y= 49

therefore x+y=7

so x=3 &y=4

Answer 2

Answer:

x = 3

y = 4

Step-by-step explanation:

4x + 3y = 24

4x = 24 - 3y

x = (24 - 3y)/4 ---(1)

3x + 4y = 25

Putting (1) in place of x,

3[(24 - 3y)/4] + 4y = 25

(72 - 9y)/4 + 4y = 25

(72 - 9y + 16y)/4 = 25

(72 + 7y)/4 = 25

72 + 7y = 25 * 4 = 100

7y = 100 - 72

7y = 28

y = 28/7 = 4 ---(2)

4x + 3y = 24

Putting (2) in place of y,

4x + 3(4) = 24

4x + 12 = 24

4x = 24 - 12 = 12

x = 12/4 = 3

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