Step-by-step explanation:
[tex](x_{1},y_{1})[/tex] is called solution of a equation if [tex](x_{1},y_{1})[/tex] satisfies the equation.
Consider the equation [tex]y=2x-3[/tex],
For point [tex](5,7)[/tex],
[tex]LHS=y=7[/tex]
[tex]RHS=2x-3=2(5)-3=10-3=7[/tex]
So,[tex]RHS=LHS[/tex]
The point [tex](5,7)[/tex] satisfies the equation.
For point [tex](8,13)[/tex],
[tex]LHS=y=13[/tex]
[tex]RHS=2x-3=2(8)-3=16-3=13[/tex]
So,[tex]RHS=LHS[/tex]
The point [tex](8,13)[/tex] satisfies the equation.
So,both the points satisfy the equation [tex]y=2x-3[/tex]
