We can graph this system in the standard window by solving each equation for \(y\text{.}\) We enter

\begin{align*}
Y_1\amp = (21.06 - 3X)/-2.8\\
Y_2\amp = (5.3 - 2X)/1.2
\end{align*}

and then press `ZOOM` \(6\text{.}\) (Don’t forget the parentheses around the numerator of each expression.)

We Trace along the first line to find the intersection point. It appears to be at \(x=4.468051\text{,}\) \(y =-2.734195\text{,}\) as shown in figure (a). However, if we press the up or down arrow to read the coordinates off the second line, we see that for the same \(x\)-coordinate we obtain a different \(y\)-coordinate, as in figure (b).

The different \(y\)-coordinates indicate that we have not found an intersection point, although we are close. The *intersect* feature can give us a better estimate, \(x = 4.36\text{,}\) \(y = -2.85\text{.}\)

We can substitute these values into the original system to check that they satisfy both equations.

\begin{align*}
3(\alert{4.36}) - 2.8(\blert{-2.85}) \amp = 21.06\\
2(\alert{4.36}) + 1.2(\blert{-2.85}) \amp = 5.3
\end{align*}