DSQ: Solving linear equations with two unknowns

Practice Questions

GMAT Quantitative Reasoning › DSQ: Solving linear equations with two unknowns

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1

How many solutions does this system of equations have: one, none, or infinitely many?

Statement 1:

Statement 2:

2

A toy store sells dolls for dollars each and trucks for dollars each. How many dolls did the store sell last week?

(1) Last week, the store sold twice as many trucks as dolls.

(2) Last week, the store made , dollars from selling trucks and dolls.

3

Is the equation linear?

Statement 1:

Statement 2: is a constant

4

Data Sufficiency Question

Solve for , , and :

1.

2.

5

Data Sufficiency Question

Solve for and :

1.

2.

6

Data Sufficiency Question

Solve for and .

1.

2. Both and are positive integers

7

Given that both , how many solutions does this system of equations have: one, none, or infinitely many?

Statement 1:

Statement 2:

8

Solve the following for x:

4x+7y = 169

1. x > y

2. x - y = 12

9

Data sufficiency question- do not actually solve the question

Solve for :

\small 2x+3xy+4y=7

1. \small x=1

2. \small x+4y=13

10

What is the value of z?

Statement 1: \dpi{100} \small x+y+z=4

Statement 2: \dpi{100} \small 2x+y^{2}+z=17

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