Question

Complete the table of values for 2 x - 5 y =10

Answer 1

ANSWER

x y

0 -2

1 -8/5

-2 -14/5

2 -6/5

EXPLANATION

We can solve the equation for y. First add 5y to both sides of the equation:

$\begin{gathered} 2x-5y+5y=10+5y \\ 2x=10+5y \end{gathered}$

Then subtract 10 from both sides:

$\begin{gathered} 2x-10=10-10+5y \\ 2x-10=5y \end{gathered}$

And divide both sides by 5:

$\frac{2}{5}x-2=y$

And we can flip the equation so we read the y first:

$y=\frac{2}{5}x-2$

Now, to complete the table we have to replace x by each of its values in the equation above and solve to find the y-value:

$y=\frac{2}{5}0-2=0-2=-2$$y=\frac{2}{5}\cdot1-2=\frac{2}{5}-2=-\frac{8}{5}$$y=\frac{2}{5}\cdot(-2)-2=-\frac{4}{5}-2=-\frac{14}{5}$$y=\frac{2}{5}\cdot2-2=\frac{4}{5}-2=-\frac{6}{5}$