8
practice testMultiple Choice

Practice Test

Question 8 • Mathematics 8

Which statements are true regarding the system of equations? Choose four correct answers. 4 x plus 5 y is equal to 15 28 x plus 35 y is equal to 105

Answer
A
The y -intercepts are different.
B
The system has an infinite number of solutions.
C
The system has one solution.
D
The system has no solution.
E
The y -intercepts are the same.
F
The lines coincide.
G
The lines are parallel.
H
The slopes are equal.

Explanation

The second equation is exactly 7 times the first: multiplying 4x + 5y = 15 by 7 gives 28x + 35y = 105. So both equations describe the same line, which has infinitely many solutions. Written as y = −4/5x + 3, the line has the same slope and y-intercept in both equations; therefore, the lines coincide.

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