Question

Give ordered pairs that are solutions and graph the equation.2y = 5x – 10Complete the ordered pairs so they are solutions to the given equation.

Answer 1

The equation is given below as

`2y=5x-10`

Concept:

To calculate the value of y when x=0, we will substitute the x=0 in the equation above and solve for y

By substituting the values, we will have

When x=0

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

When x=1

`\begin{gathered} 2y=5x-10 \\ 2y=5(1)-10 \\ 2y=5-10 \\ 2y=-5 \\ (2y)/(2)=-(5)/(2) \\ y=-2.5 \\ (0,-2.5) \end{gathered}`

When x=2

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

When x=3

`\begin{gathered} 2y=5x-10 \\ 2y=5(3)-10 \\ 2y=15-10 \\ 2y=5 \\ (2y)/(2)=(5)/(2) \\ y=2.5 \\ (3,2.5) \end{gathered}`

When x=4

`\begin{gathered} 2y=5x-10 \\ 2y=5(4)-10 \\ 2y=20-10 \\ 2y=10 \\ (2y)/(2)=(10)/(2) \\ y=5 \\ (4,5) \end{gathered}`

Hence,

By graphing using the ordered pairs below, we will have

`\begin{gathered} (2,0) \\ (0,-5) \end{gathered}`