Question

For the following equation determine the value of the missing entry reduce all fractions to lowest those terms. Each column in the table represents In ordered pair if multiple solutions exist you will need to identify one

Answer 1

Given

$12x-10y=16$

To find: The missing values in the table.

Explanation:

It is given that,

$12x-10y=16$

That implies,

For y=0,

$\begin{gathered} 12x-10(0)=16 \\ 12x=16 \\ x=\frac{16}{12} \\ x=\frac{4}{3} \end{gathered}$

Also, For y=5,

$\begin{gathered} 12x-10(5)=16 \\ 12x-50=16 \\ 12x=16+50 \\ 12x=66 \\ x=\frac{66}{12} \\ x=\frac{11}{2} \end{gathered}$

Hence,

1) For y=0, x=4/3.

2) For y=5, x=11/2.