Question

Question 1

Which statement about the system of equations y = 3x + 9 and y = 3x – 4 is true?

A. No solution
B. Infinite solutions
C. Exactly one solution
D. Different y-intercepts so there are two solutions

Answer 1

A. no solution

Explanation:

y = 3x + 9

y = 3x - 4

Let's solve this.

We can see that both equations equal y, so we can set them equal to each other.

3x + 9 = 3x - 4

Combine like terms.

[add 4 to both sides]

3x + 13 = 3x

[subtract 3x from both sides]

13 = 0

This statement is not true; therefore, there is no solution.

If we look at the graph below, we can see the lines are parallel. Parallel lines will never intersect and have no solution in a system of equations.

Hope this helps!