Digital PSAT Math Practice Question 227: Answer and Explanation
Question: 227
At what point in the x-y coordinate plane will the functions y = 4x - 3 and 
intersect?
- A.
- B.
- C.
- D.
Correct Answer: C
Explanation:
(C) Notice that both functions give equations of lines. To find the point of intersection, you want to find the point (x, y) that is on both lines. Since (x, y) is on both lines, you can find this common x value by setting the right sides of both equations equal to one another:
. Combine like terms by adding 
to both sides and adding 3 to both sides:
. Solve for x by dividing both sides by 
(in other words, multiply both sides by 
) to learn that 
. This is enough to narrow it down to choice (C), but you could solve for y by plugging 
in for x in either equation:
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