Digital PSAT Math Practice Question 195: Answer and Explanation

Question: 195

How many solutions does the equation below have?

3x - 4y = 73

• A. None
• B. Exactly 1
• C. Exactly 2
• D. Infinite

Correct Answer: D

Explanation:

(D) Since this is one equation with two variables, it will have infinite solutions. If we knew another line with which this equation intersected, the two equations would have a solution. To see how this equation has more than two solutions, try some sample values for x and y into the equation:

3x - 4y = 73

If x is 1, y is -17.5

If x is 2, y is -16.75

If x is 3, y is -16.

You can keep on going and you will find endless possibilities for x and y.