Solve the following linear equations using the given graph.
3x - 2 = 4
On the same graph, we draw the lines whose equations are:
\begin{cases} y=3x-2 \cr \cr y=4 \end{cases}
We can see on the graph that the lines intersect at \left(2{,}4\right).
The solution is x = 2.
8x - 3= 1
On the same graph, we draw the lines whose equations are:
\begin{cases} y=8x-3 \cr \cr y=1 \end{cases}
We can see on the graph that the lines intersect at \left(\dfrac{1}{2},1\right).
The solution is x = \dfrac{1}{2}.
-2x +3= x
On the same graph, we draw the lines whose equations are:
\begin{cases} y=-2x+3 \cr \cr y=x \end{cases}
We can see on the graph that the lines intersect at \left(1{,}1\right).
The solution is x =1.
-3x +5 = -1
On the same graph, we draw the lines whose equations are:
\begin{cases} y=-3x+5 \cr \cr y=-1 \end{cases}
We can see on the graph that the lines intersect at \left(2,-1\right).
The solution is x = 2.
-3x - 4 = -x
On the same graph, we draw the lines whose equations are:
\begin{cases} y=-3x-4 \cr \cr y=-x \end{cases}
We can see on the graph that the lines intersect at \left(-2{,}2\right).
The solution is x = -2.
1-4x = -3
On the same graph, we draw the lines whose equations are:
\begin{cases} y=1-4x \cr \cr y=-3 \end{cases}
We can see on the graph that the lines intersect at \left(1,-3\right).
The solution is x = 1.
7x - 2 = \dfrac{3}{2}
On the same graph, we draw the lines whose equations are:
\begin{cases} y=7x-2 \cr \cr y=-\dfrac{3}{2} \end{cases}
We can see on the graph that the lines intersect at \left(\dfrac{1}{2},\dfrac{3}{2}\right).
The solution is x = \dfrac{1}{2}.