Question

for which of the following equations is (-3, -2) not a solution?5x +2y=-192y-3x=53x=4y-7y=1+x

Answer 1

Solution

Which of the following equations is (-3, -2) not a solution?

$\begin{gathered} (-3,-2) \\ x=-3,y=-2 \end{gathered}$

Option A is a solution

$\begin{gathered} 5x+2y=-19 \\ 5(-3)+2(-2) \\ =-15-14 \\ =-19 \end{gathered}$

Option B is a solution

$\begin{gathered} 2y-3x=5 \\ 2(-2)-3(-3) \\ =-4+9 \\ =5 \end{gathered}$

Option C is not a solution

$\begin{gathered} 3x=4y-7 \\ 3(-3)=4(-2)-7 \\ -9=-8-7 \\ -9\ne-15 \end{gathered}$

Option D is a solution

$\begin{gathered} y=1+x \\ -2=1-3 \\ -2=-2 \end{gathered}$

Therefore Option C is not a solution

Hence the correct answer is Option C