Question

Is the ordered pair (3,-4) a solution to : 5x-2y=17

Answer 1

Given

`5x-2y=17`

Set x=3 and solve for y, as shown below

`\begin{gathered} x=3 \\ \Rightarrow5*3-2y=17 \\ \Rightarrow15-2y=17 \\ \Rightarrow-2y=2 \\ \Rightarrow y=-1 \end{gathered}`

Therefore, a solution to the equation is the ordered pair (3,-1).

(3,-4) cannot be a solution to the equation.