2x + 3y = 10
[tex]\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|}
{ \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} [/tex]
[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]
If x is 2
Then ,
2x + 3y = 10
2(2) + 3y = 10
4 + 3y = 10
3y = 10 - 4
3y = 6
y = 6/3
y = 2
If y is 0
Then ,
2x + 3y = 10
2x + 3(0) = 10
2x + 0 = 10
2x = 10
x = 10/2
x = 5
If x is 8
Then ,
2x + 3y = 10
2(8) + 3y = 10
16 + 3y = 10
3y = 10 - 16
3y = -6
y = -6/2
y = -3
_______________________
3x - y = 4
[tex]\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|}
{ \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} [/tex]
[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]
If x is 2
Then ,
3x - y = 4
3(2) - y = 4
6 - y = 4
-y = 4 - 6
-y = -2
If y is 2
Then ,
3x - y = 4
3x - 2 = 4
3x = 4 + 2
3x = 6
x = 6/2
x = 3
If x is 4
Then ,
3x - y = 4
3(4) - y = 4
12 - y = 4
-y = 4 - 12
-y = -8
