Question

solve the attachment​

Answer 1

$\Large{\textsf{\textbf{\underline{\underline{Given\::}}}}}$

⠀⠀⠀⠀❶ ${\textsf{\textbf{x\:+\:2y\:=\:19\:}}}$

⠀⠀⠀⠀❷ ${\textsf{\textbf{x\:+\:3y\:=\:24\:}}}$

$\Large{\textsf{\textbf{\underline{\underline{To\:do\::}}}}}$

The value of x & y.

$\Large{\textsf{\textbf{\underline{\underline{Solution\::}}}}}$

$\dashrightarrow\:\tt{\begin{cases} x\:+\:2y\:=\:19 ---(1) \\ \\ x\:+\:3y\:=\:24 ---(2) \end{cases}\:}$

Substracting equation (1) from equation (2), we get

$\dashrightarrow\:\tt{ x\:+\:3y \: -\: \left( x\:+\:2y\right)\:=\:24\:-\:19\:}$

$\dashrightarrow\:\tt{ x\:+\:3y \: -\: x\:-\:2y\:=\:5\:}$

$\dashrightarrow\:\tt{ 3y \:-\:2y\:=\:5\:}$

$\dashrightarrow\:{\textsf{\textbf{\pink{ y\:=\:5\:}}}}$

Putting the value of y in equation (1), we get

$\dashrightarrow\:\tt{ x\:+\:2\times{5}\:=\:19\:}$

$\dashrightarrow\:\tt{ x\:+\:10\:=\:19\:}$

$\dashrightarrow\:\tt{ x\:=\:19\:-\:10\:}$

$\dashrightarrow\:{\textsf{\textbf{\pink{ x\:=\:9\:}}}}$

⠀⠀⠀⠀⠀⠀⠀$\Large{\textsf{\textbf{\underline{\underline{Verification\::}}}}}$

Let's play it,

Putting the resulting values of x & y in the equation (2) as,

$\dashrightarrow\:\tt{ 9\:+\:3\times{5}\:=\:24\:}$

$\dashrightarrow\:\tt{ 9\:+\:15\:=\:24\:}$

$\dashrightarrow\:\tt{ 24\:=\:24\:}$

⠀⠀⠀⠀⠀$\:\red\star\:\:\bf{\underline{\blue{ Hence\: verified\:}}}\:\:\red\star$