Question

student masterconnect3. Which point is not a solution to the equation 2y + x = 87A (5, 1.5)B. (2, 3)C. (1, 4.5)D. (3, 2)

Answer 1

To determine if the point is a solution or not, we have to substitute the x-value and see if the y-value is correct:

*For x=5

`\begin{gathered} -2y+5=8 \\ -2y=8-5 \\ y=-(3)/(2) \\ y=-1.5 \end{gathered}`

For x=2

`\begin{gathered} -2y+2=8 \\ -2y=8-2 \\ y=-(6)/(2) \\ y=-3 \end{gathered}`

For x=-1

`\begin{gathered} -2y-1=8 \\ -2y=8+1 \\ y=-(9)/(2) \\ y=-4.5 \end{gathered}`

For x=-3

`\begin{gathered} -2y-3=8 \\ -2y=8+3 \\ y=(11)/(-2) \\ y=-5.5 \end{gathered}`

Then, the point that is NOT a solution for the equation is D. (-3, 2). The solution for x=-3 is -5.5.