4
practice testMultiple Choice

Practice Test

Question 4 • Mathematics I

After applying the linear combination method, Heather arrived at the equation 0 is equal to 60 What conclusion can be drawn about the system of equations?

Answer
A
The equation has no solution; therefore, the system of equations has no solution.
B
The equation has infinite solutions; therefore, the system of equation has infinite solutions.
C
The equation has a solution at 0 comma 0 ; therefore, the system of equations has a solution at 0 comma 0 .
D
The equation has a solution at 0 comma 60 ; therefore, the system of equations has a solution at 0 comma 60 .

Explanation

The result 0 = 60 is a contradiction because zero cannot equal 60. In the linear combination method, a contradiction means the original equations are inconsistent, so the system has no solution. Therefore, the correct choice is “The equation has no solution; therefore, the system of equations has no solution.”

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