To graph the system of linear equations y=x+3 and -4x+4y=28, we first need to rewrite the second equation in slope-intercept form:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the two equations:
y = x + 3
y = x + 7
When we graph these two equations on a coordinate plane, we will see that they are parallel lines with the same slope. This means that the lines will never intersect, and there is no solution to the system of linear equations.
Therefore, the solution to the system of linear equations is that there are no common solutions for both equations.
Solve the following system of linear equations by graphing. Graph on your own piece of paper. In your submitted answer, describe what the graph looks like and what this tells you about the solution to the system of linear equations. y=x+3 −4x+4y=28 (2 points)
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1 answer