Given:
Equation is:
[tex]\begin{gathered} x+7y=17 \\ \\ -x-9y=-21 \end{gathered}[/tex]Find-:
The value of "x" and "y"
Explanation-:
The equation is:
[tex]\begin{gathered} x+7y=17...............(1) \\ \\ -x-9y=-21..........(2) \end{gathered}[/tex]Addboth equation then,
[tex]x+7y+(-x-9y)=17+(-21)[/tex]Then equation become :
[tex]\begin{gathered} x+7y-x-9y=17-21 \\ \\ 7y-9y=17-21 \\ \\ -2y=-4 \\ \\ y=\frac{-4}{-2} \\ \\ y=2 \end{gathered}[/tex]The value of y is 2
Then value of x is:
[tex]\begin{gathered} x+7y=17 \\ \\ x=17-7y \\ \\ x=17-7(2) \\ \\ x=17-14 \\ \\ x=3 \end{gathered}[/tex]Value of "x" and "y" is:
[tex]\begin{gathered} x=3 \\ \\ y=2 \end{gathered}[/tex]