Question

-5y+10x=5;x=-2,0,2 how to i solve for x and y it says solve each equation for y. Then find the value of y for each value of x

Answer 1

Given the equation below

`-5y+10x=5`

To find the values of y for the given values of x,

Substitute for x into the equation

Where x = -2

`\begin{gathered} -5y+10x=5 \\ -5y+10(-2)=5 \\ -5y-20=5 \\ \text{Collect like terms} \\ -5y=5+20 \\ -5y=25 \\ \text{Divide both sides by -5} \\ (-5y)/(-5)=(25)/(-5) \\ y=-5 \end{gathered}`

Where x = -2, y = -5

Where x = 0

`\begin{gathered} -5y+10x=5 \\ -5y+10(0)=5 \\ -5y+0=5 \\ -5y=5 \\ \text{Divide both sides by -5} \\ (-5y)/(-5)=(5)/(-5) \\ y=-1 \end{gathered}`

Where x = 0, y = -1

Where x = 2