Question

Is the point (-2, 2) a solution for the equation y-4 = 3(x + 1)?

Answer 1

Remember that ordered pairs are written in the form:

`(x,y)`

To find it (-2,2) is a solution for the given equation, substitute x=-2 and y=2:

`\begin{gathered} y-4=3(x+1) \\ \Rightarrow2-4=3(-2+1) \\ \Rightarrow-2=3(-1) \\ \Rightarrow-2=-3 \end{gathered}`

Since the expression -2=-3 is false, then the point (-2,2) is not a solution for the given equation.