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To graph the system of linear equations, we first need to rewrite them in slope-intercept form:
1) y=x+3
2) β4x+4y=28
4y=4x+28
y=x+7
Now we can graph both equations.
1) The first equation y=x+3 has a y-intercept at (0,3) and a slope of 1. This line goes up and to the right.
2) The second equation y=x+7 has a y-intercept at (0,7) and a slope of 1. This line also goes up and to the right.
When we graph these two lines, we can see that they intersect at the point where x=4 and y=7. This is the solution to the system of linear equations.
Therefore, the solution to the system of linear equations is x=4 and y=7.