Answer
a) $(-1,3)$
b) $(2,2)$
c) $(-1.5,0.5)$
Work Step by Step
a) Non-integer slope and $y$-intercept will make this system rather difficult to graph and then we may have to estimate the solution. Let's use a table to find the solution to this system.
Thus, the solution is $(-1,3)$.
b) We build a table for the system of equations:
\begin{array}{|c|c|c|c|c|}
\hline
\textbf{x} & \textbf{x} & \textbf{y} & \textbf{-3x+8} & \textbf{y} \\
\hline
0 & 0 & 0 & -3(0)+8 & 8 \\
\hline
1 & 1 & 1 & -3(1)+8 & 5 \\
\hline
2 & 2 & 2 & -3(2)+8 & 2 \\
\hline
\end{array} The solution is $(2,2)$.
c) We build a table for the system of equations:
\begin{array}{|c|c|c|c|c|}
\hline
\textbf{x} & \textbf{-x-1} & \textbf{y} & \textbf{3x+5} & \textbf{y} \\
\hline
-2 & -(-2)-1 & 1 & 3(-2)+5 & -1 \\
\hline
-1 & -(1)-1 & 0 & 3(-1)+5 & 2 \\
\hline
-1.5 & -(-1.5)-1 & 0.5 & 3(-1.5)+5 & 0.5 \\
\hline
\end{array} The solution is $(-1.5,0.5)$.
