Solve the following equations using graphs.
\left| x-1 \right|=2
On the coordinate system, the graphs of the following equations are sketched:
- y=| x-1 |
- y=2
The intersection points provide the solution for the x-value. The y-value is 2 at both intersection points.
We get x=3 or x=-1.
\left| x-3 \right|=3
On the coordinate system, the graphs of the following equations are sketched:
- y=| x-3|
- y=3
The intersection points provide the solution for the x-value. The y-value is 3 at both intersection points.
We get x=0 or x=6.
\left| x-1 \right|=7
On the coordinate system, the graphs of the following equations are sketched:
- y=| x-1|
- y=7
The intersection points provide the solution for the x-value. The y-value is 7 at both intersection points.
We get x=8 or x=-6.
\left| x+1 \right|=4
On the coordinate system, the graphs of the following equations are sketched:
- y=| x+1|
- y=4
The intersection points provide the solution for the x-value. The y-value is 4 at both intersection points.
We get x=3 or x=-5.
\left| x-5 \right|=5
On the coordinate system, the graphs of the following equations are sketched:
- y=| x-5|
- y=5
The intersection points provide the solution for the x-value. The y-value is 5 at both intersection points.
We get x=0 or x=10.
\left| x-2 \right|=9
On the coordinate system, the graphs of the following equations are sketched:
- y=| x-2|
- y=9
The intersection points provide the solution for the x-value. The y-value is 9 at both intersection points.
We get x=11 or x=-7.
\left| x-10 \right|=2
On the coordinate system, the graphs of the following equations are sketched:
- y=| x-10|
- y=2
The intersection points provide the solution for the x-value. The y-value is 2 at both intersection points.
We get x=12 or x=8.