Question

Fill on the blanks. I didnt get it correct the first time

Answer 1

To simplify the calculations, first, we solve the given equation for y:

`\begin{gathered} 2x=5y+10, \\ 2x-10=5y, \\ (2)/(5)x-2=y. \end{gathered}`

Now, we evaluate

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

at x=0, and x=-5:

`\begin{gathered} y=(2)/(5)(0)-2=-2, \\ y=(2)/(5)(-5)-2=-2-2=-4. \end{gathered}`

Now, solving the given equation for x, we get:

`\begin{gathered} 2x=10+5y, \\ x=5+(5)/(2)x. \end{gathered}`

Evaluating the above equation at y=0, and y=2, we get:

`\begin{gathered} x=5+(5)/(2)(0)=5, \\ x=5+(5)/(2)(2)=5+5=10. \end{gathered}`

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