Question

Which one of the equations is equivalent to the given equation? 2x + 3y = 10

Answer 1

`2x+3y=10`

To find the equation equivalent you solve for y:

1. Substract 2x in both sides of the equation:

`\begin{gathered} 2x-2x+3y=-2x+10 \\ \\ 3y=-2x+10 \end{gathered}`

2. Divide into 3 both sides of the eqaution:

`\begin{gathered} (3)/(3)y=-(2x)/(3)+(10)/(3) \\ \\ \\ y=-(2)/(3)x+(10)/(3) \end{gathered}`

Then, the given equation is equivalent to the equation in 4th option (y=-2/3x+10/3)