Question

Y-2x + 11What are four solutions to this

Answer 1

Given the equation : y = -2x + 11, we can re-write the equation as

`y\text{ + 2x = 11}`

The possible solutions to the equation can be obtained by assuming different values of x and then substituting each value into the function to get y.

when x = 0,

`y\text{ = 11}`

when x = 1

`\begin{gathered} y\text{ = 11 - 2} \\ =\text{ 9} \end{gathered}`

when x =3

`\begin{gathered} y\text{ = }11\text{ - 3 }*\text{ 2} \\ =\text{ 5} \end{gathered}`

when x = 4

`\begin{gathered} y\text{ = 11 - 2 }*\text{ 4} \\ =\text{ 3} \end{gathered}`

Hence, the possible solutions are (0,11) , (1,9), (3,5) and (4,3)