Question

Choose the equation that has solutions (5,7) and (8,13).

Answer 1

Answer:y=2x-3

Step-by-step explanation:

$(x_{1},y_{1})$ is called solution of a equation if $(x_{1},y_{1})$ satisfies the equation.

Consider the equation $y=2x-3$,

For point $(5,7)$,

$LHS=y=7$

$RHS=2x-3=2(5)-3=10-3=7$

So,$RHS=LHS$

The point $(5,7)$ satisfies the equation.

For point $(8,13)$,

$LHS=y=13$

$RHS=2x-3=2(8)-3=16-3=13$

So,$RHS=LHS$

The point $(8,13)$ satisfies the equation.

So,both the points satisfy the equation $y=2x-3$