Question

2x-y=2 and 5x+2y=14 then the value of x+y is

Answer 1

value of x=2 and y=2 and x+y=4

Answer 2

$Given \: pair \: of \: linear \: equations: \\2x - y = 2$

$\implies y = 2x - 2 \: --(1)$

$and \: 5x + 2y = 14 \: --(2)$

/* Put y = 2x - 2 in equation (2) , we get */

$\implies 5x + 2(2x-2) = 14$

$\implies 5x + 4x-4= 14$

$\implies 9x = 14 + 4$

$\implies 9x = 18$

$\implies x = \frac{18}{9}$

$\implies x = 2$

/* Put x = 2 in equation (1) , we get */

$y = 2 \times 2 - 2$

$\implies y = 4 - 2$

$\implies y = 2$

$\red{ Value \: of \: x + y } \\= 2 + 2\\= 4$

Therefore.,

$\red{ Value \: of \: x + y } \green { = 4 }$

•••♪