Question

18. x = 9, y = 4 is a solution of the linear equation:
a) 2x + y = 17 b) x + y = 17 c) x + 2y = 17 d) 3x – 2y = 17​

Answer 1

Answer:

option c is correct option.

Answer 2

$\Huge \underline {\red {\bf{question:-}}}$

x = 9, y = 4 is a solution of the linear equation:

a) 2x + y = 17

b) x + y = 17

c) x + 2y = 17

d) 3x – 2y = 17​

$\Huge\boxed{ \underline {\red {\bf{Given}}}}$

$❥\:\:X\:=\:9\\\\❥\:\:Y\:=\:4$

$\Huge \underline {\red {\bf{Solution:-}}}$

$a)\:\:2\:x\:+\:y\:=\:17\\\\\rightarrow\:\:2\:\times\:9\:+\:4\:=\:17\\\\\rightarrow\:\:18\:+4\:=\:17\\\\\rightarrow\:\:22\:=\:17\\\\LHS\:\:\neq\:\:RHS$

$b)\:\:x\:+y\:=\:17\\\\\rightarrow\:\:9\:+4\:=17\\\\\rightarrow\:\:12\:\:=\:17\\\\LHS\:\:\neq \:\:RHS$

$c)\:\:x\:+\:2\:y\:=\:17\\\\\rightarrow\:\:9\:+\:2\:\times\:4\:=\:17\\\\\rightarrow\:\:9\:+8\:=\:17\\\\\rightarrow\:\:17\:=\:17\\\\LHS\:\:=\:\:RHS$

$d)\:\:3\:x\:-2\:y\:=\:17\\\\\rightarrow\:\:3\:\times\:9\:-2\:\times\:4\:=\:17\\\\\rightarrow\:\:27\:-\:8\:=\:17\\\\\rightarrow\:\:19\:=17\\\\LHS\:\:\neq \:\:RHS$

$\boxed{\underline {\red {\bf{Final\:\:Answer}}}}$

Statement

$\boxed{c)\:\:x\:+\:2\:y\:=\:17}$

is the correct for  the given values