30
practice examMultiple Choice

Practice Exam

Question 30 • Mathematics I

Which statements about the system are true? Choose two correct answers. y is equal to 1 third x minus 4 3 y minus x is equal to negative 7

Answer
A
The system has one solution.
B
Both lines have the same slope.
C
Both lines have the same y –intercept.
D
The equations represent the same line.
E
The system consists of parallel lines.

Explanation

The first equation is already in slope-intercept form: y = (1/3)x − 4, so its slope is 1/3. Rearranging 3y − x = −7 gives y = (1/3)x − 7/3, which has the same slope but a different y-intercept. The lines are parallel, so both “Both lines have the same slope” and “The system consists of parallel lines” are true.

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