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How many solutions does the following system have?

y = (3/2)x - 2
y = (3/2)x + 2
a) No solution
b) One solution
c) Infinite solutions
d) Two solutions

User Hofmn
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1 Answer

2 votes

Final answer:

The given system of equations has no solution.

Step-by-step explanation:

The given system of equations is:

y = (3/2)x - 2

y = (3/2)x + 2

To determine the number of solutions, we need to compare the slopes and y-intercepts of the two equations.

Both equations have the same slope of 3/2, indicating that the lines are parallel. Since parallel lines do not intersect, the system has No solution (a).

User Serkan
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6.9k points