Question

Problem 2 Fill in the chart with appropriate values that satisfy this equation y= 3x - 5

Answer 1

The given equation:

$y=3x-5$

put x=3 in the above equation,

$\begin{gathered} y=3(3)-5 \\ y=9-5 \\ y=4 \end{gathered}$$\begin{gathered} 10=3x-5 \\ 10+5=3x \\ 15=3x \\ x=5 \end{gathered}$

when x= 5, y = 10

put x = - 2 in the equation.

$\begin{gathered} y=3(-2)-5 \\ y=-6-5 \\ y=-11 \end{gathered}$

when x = -2 y= - 11.

put x = 0 in the equation.

$\begin{gathered} y=3(0)-5 \\ y=-5 \end{gathered}$

when x = 0 , y = -5.

put y =0 in the equation.

$\begin{gathered} 0=3x-5 \\ 5=3x \\ x=\frac{5}{3} \end{gathered}$

put y = -17 in the equation.

$\begin{gathered} -17=3x-5 \\ -17+5=3x \\ -12=3x \\ x=-\frac{12}{3} \\ x=-4 \end{gathered}$