AlgebraEasySystem of two parallel lines
Algebra practice question
In the xy-plane, the lines y = x + 1 and y = x − 3 are parallel. Which statement about the system of these two equations is true?
- A. It has no solution, because the lines never meet.Correct
- B. It has exactly one solution.
- C. It has infinitely many solutions.
- D. Its solution is (1, −3).
Answer: A. It has no solution, because the lines never meet.
Parallel, distinct lines share no point, so the system has no solution.
Why the other answers are wrong
- B. It has exactly one solution.
- One solution needs lines that cross.
- C. It has infinitely many solutions.
- Infinitely many needs the same line twice.
- D. Its solution is (1, −3).
- (1, −3) satisfies neither equation.
More Algebra questions
- Easy
If 3x + 7 = 22, what is the value of x? - Easy
If x/4 = 9, what is the value of x? - Easy
The function f is defined by f(x) = 6x − 5. What is the value of f(3)? - Easy
The perimeter P of a rectangle with length l and width w is given by P = 2l + 2w. Which of the following expre… - Easy
Which equation defines the function f? - Easy
In the xy-plane, the graph of the equation y = 4x − 12 crosses the x-axis at the point (a, 0). What is the val…
Not affiliated with the College Board. SAT is a trademark of the College Board.