Question

work out the value of x and y
2x+3y=15
x+y=6

Answer 1

$\bold \red\star \: \large \underline{Question:-}$

$\blue{2x }+ \red{3y} = \pink{15}. \\ \\ \blue {x} + \red {y} = \pink {6}.$

$\bold \red\star \: \large \underline{Solution:-}$

$2x + 3y = 15. - - - - - \red{(1) }\\ \\ x + y = 6. - - - - - - \red { (2)}$

$Substitution \: Method \: Apply:-$

Taking equation 2.

$x = 6 - y. - - - - - - \red{(3)}$

$\therefore \: \: Putting \: the \: value \: x =6-y$

$\implies2x + 3y = 15. \\ \\ \implies 2(6 - y) + 3y = 15. \\ \\ \implies12 - 2y + 3y = 15. \\ \\ \implies y = 3.$

Now,

Taking equation 3.

$\implies x = 6 - y. \\ \\ \implies x = 6 - (3). \\ \\ \implies x = 3.$

$The \: value \: of \: x \: = {\boxed{\bold{ 3}}} \: and \: y \: = {\boxed{\bold{ 3.}}}$