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

Complete the table of values for 2 x - 5 y =10-example-1

1 Answer

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ANSWER

x y

0 -2

1 -8/5

-2 -14/5

2 -6/5

Step-by-step 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:


(2)/(5)x-2=y

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


y=(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=(2)/(5)0-2=0-2=-2
y=(2)/(5)\cdot1-2=(2)/(5)-2=-(8)/(5)
y=(2)/(5)\cdot(-2)-2=-(4)/(5)-2=-(14)/(5)
y=(2)/(5)\cdot2-2=(4)/(5)-2=-(6)/(5)

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