Get detailed explanations to advanced GMAT questions.

If (2^x) (2^y) = 8 and (9^x)(3^y) = 81, then (x,y) equals:

Option A:

(1,2)

Option B:

(2,1)

Option C:

(1,1)

Option D:

(2,2)

Option E:

(1,3)

Option A is the correct answer.

Given (2^x) (2^y) = 8,

2^(x+y) = 2^3

x+y = 3 (from Equation 1)

(9^x)(3^y) = 81,

3^(2x) * (3^y) = 3^4

3^(2x+y) = 3^4

So 2x+y = 4 (from Equation 2)

Solving, Equation 2 – Equation 1

We get, x = 1 and y =2

- The cost of a certain phone call was $0.75 for the first 3 minutes and $0.20 for each additional minute…

- In the xy-plane, does the line L intersect the graph of y = x^2

- A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate…

- The figure above represents a rectangular garden bordered by a walk away that has a uniform width…

- If two copying machines work simultaneously at their respective constant rates, how many copies do…

- Copyright © 2020. All Rights Reserved. Crafted by Pixelmattic