Solve the following system of linear equations by graphing graph on your own piece of paper if you're submitted answer it describe what the graph looks like and what this tells you about the solution to the system of linear equations
y=×+3
-4×+4y=28
To solve the system of linear equations given, we need to first rewrite the second equation in slope-intercept form:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the two equations in the form y = mx + b:
1) y = x + 3
2) y = x + 7
To graph these equations, we see that both equations have the same slope of 1, but different y-intercepts of 3 and 7. Thus, the lines are parallel.
When we graph these equations, we will see that the two lines run parallel to each other and never intersect. This indicates that the system of equations has no solution, as there are no values of x and y that satisfy both equations simultaneously.