Question

For the system, determine whether the given pair is a solution

Answer 1

Given the system of equations;

$\begin{gathered} 4x+2y=6\ldots\ldots\ldots\ldots\ldots\ldots..equation\text{ 1} \\ y=-2x+3\ldots\ldots\ldots\ldots\ldots\ldots.equation\text{ 2} \end{gathered}$

Then, we will check if the given pair is a solution by substituting in both equations, we have;

$\begin{gathered} 4x+2y=6 \\ x=-2,y=7 \\ 4(-2)+2(7)=6 \\ -8+14=6 \\ 6=6 \end{gathered}$

Then, it is true for equation 1.

Also,

$\begin{gathered} x=-2,y=7 \\ 7=-2(-2)+3 \\ 7=4+3 \\ 7=7 \end{gathered}$

Thus, it is true for equation 2.

Hence, the given pair is a solution.