How many solutions will the following system of equations have?
y = 3x - 5
y = 3x + 7
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Step-by-step explanation:
y = mx + b is an equation of the line with slope m and y-intercept b.
y = 3x - 7 has slope 3 and y-intercept -7
y = 3x + 5 has slope 3 and y-intercept 5
The lines have the same slope but have different y-intercepts.
So, the lines are parallel.
The solutions of the system of equations are the points where the graphs intersect.
Since the lines are parallel, they do not intersect.
Therefore, the system of equations has no solution.
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