Question

from the equations 2x+y=5 and X+2y=7 then the value of X+y=?
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Answer 1

Answer:

x = 1 and y = 3

so x+y = 4

Step-by-step explanation:

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Answer 2

Answer:

Required value of x+y is 4

Step-by-step explanation:

Given two equations are

$2x + y = 5......(1)$

and $x + 2y = 7.....(2)$

From equation (1),

$2x + y = 5$

$2x = 5 - y$

$x = \frac{5 - y}{2} .....(3)$

Again from equation (2)

$x + 2y = 7$

$x = 7 - 2y.......(4)$

Now from equation (3) and equation (4),

$\frac{5 - y}{2} = 7 - 2y$

By cross multiplication,

$5 - y = 2 \times (7 - 2y)$

$5 - y = 14 - 4y$

Now we are separating variable and constant part,

$- y + 4y = 14 - 5$

$3y = 9$

$y = \frac{9}{3} = 3$

From equation (4),

$x = 7 - 6 = 1$

Therefore value of x is 1 and value of y is 3.

So,$x + y = 1 + 3 = 4$