Brilliant

Today Courses

Practice

Algebra
Geometry
Number Theory
Calculus
Probability
Basic Mathematics
Logic
Classical Mechanics
Electricity and Magnetism
Computer Science
Quantitative Finance
Chemistry

rocket with vector

Excel in math and science.

Log in with Facebook Log in with Google Log in with email

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

rocket with vector

Your answer seems reasonable. Find out if you're right!

Sign up to access problem solutions.

That seems reasonable. Find out if you're right!

Sign up to save your progress!

Log in with Facebook Log in with Google Log in with email

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

System of Linear Equations

Concept Quizzes

System of Linear Equations Warmup
System of Linear Equations - Substitution
System of Linear Equations - Elimination
System of Linear Equations - More Variables
System of Linear Equations Word Problems
System of Linear Equations - Problem Solving

Challenge Quizzes

System of Linear Equations: Level 1 Challenges
System of Linear Equations: Level 2 Challenges
System of Linear Equations: Level 3 Challenges

System of Linear Equations Warmup

How many solutions are there for this system of equations? $\begin{aligned} x + y = 4\\ x + y = 6 \end{aligned}$

0 1 Infinity

Show explanation

by Brilliant Staff

Lines $a, b,$ and $c$ represent three different linear equations. What is the solution for the system of $a$ and $c?$

(3,-3) (-3,3) (1,5) (5,1)

Show explanation

by Brilliant Staff

Two of these lines intersect at a point with positive coordinates. Which two?

A: $y = -3x -2$

B: $y = 3x -2$

C: $y = 0.5x +1$

D: $x = -3$

A and B A and C B and C B and D

Show explanation

by Brilliant Staff

Find $xy$ if $2x + 4y = 2$ and $y - x = 5$ .

-6 5 6 -5

Show explanation

by Brilliant Staff

How many $(x, y)$ pairs are solutions for both of these equations?

$\begin{aligned} x + 2y &= 4 \\ 3x + 6y &= 12 \end{aligned}$

0 1 2 infinitely many

Show explanation

by Brilliant Staff

×

Problem Loading...

Note Loading...

Set Loading...