find the solution to the system of equations by graphing.
y=3x-1
6x-2y=2
To graph the first equation, we can start by plotting the y-intercept, which is -1. Then, using the slope of 3 (which means for every increase of 1 in x, y increases by 3), we can plot another point. Connecting these two points gives us a line:
y=3x-1
```
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-1| ●
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To graph the second equation, we can start by rearranging it to slope-intercept form:
6x-2y=2
-2y=-6x+2
y=3x-1
Just like before, we can plot the y-intercept, which is also -1. Then, using the slope of 3 (which is the same as the first equation), we can plot another point and connect the two points to get another line:
6x-2y=2
```
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-1| ●
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```
Now, we can see that the two lines intersect at the point (1,2), which is the solution to the system of equations:
y=3x-1
6x-2y=2
```
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-1| ●
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```
Therefore, the solution to the system of equations is x=1 and y=2.