70,934 views
31 votes
31 votes
A system of equations is shown below what is the solution of the system of equation?

User Randomeister
by
2.5k points

1 Answer

12 votes
12 votes

We will have the following:

*We will determine the solution by replacing the pairs of values and calculating, that is:

*a. (-10, 6.5):


\begin{cases}2(-10)+4(6.5)=6 \\ (-10)-2(6.5)=7\end{cases}\Rightarrow\begin{cases}6=6 \\ -23\\e7\end{cases}

*b. (-2, 2.5):


\begin{cases}2(-2)+4(2.5)=6 \\ (-2)-2(2.5)=7\end{cases}\Rightarrow\begin{cases}6=6 \\ -7\\e7\end{cases}

*c. (5, -1):


\begin{cases}2(5)+4(-1)=6 \\ (5)-2(-1)=7\end{cases}\Rightarrow\begin{cases}6=6 \\ 7=7\end{cases}

So, the solution for the system is the point (5, -1).

User BLight
by
2.9k points