Home » Test Prep » ACT Section 2: Math » Which of the following is equal to x/y?
If 3x – y = 2 and 2y – 3x = 8, which of the following is equal to x/y?
A. 2/3
B. 2/5
C.
D. 4
E. 6
Correct Answer: B
Explanation/Reference:
Explanation:
Solve 3x – y for y: -y = -3x + 2, y = 3x – 2.
Substitute 3x – 2 for y in the second equation and solve for x:
2 x (3x – 2) – 3x = 8
6x – 4 – 3x = 8
3x – 4 = 8 3x = 12 x = 4 Substitute the value of x into the first equation to find the value of y:
3 x 4 – y = 2 12 – y = 2 y = 10x/y = 4/10 = 2/5
Download Printable PDF. VALID exam to help you PASS.
|
|