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Writing Systems of Linear Equations from Word Problems

Master writing systems of linear equations from word problems with interactive lessons and practice problems! Designed for students like you!

Understanding Writing Systems of Linear Equations from Word Problems

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Video explanation of this concept

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Beginner

Start here! Easy to understand

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Beginner Explanation

Step 1: Read the problem and identify two unknowns. Step 2: Assign variables to each unknown. Step 3: Translate each verbal statement into a linear equation in two variables. Step 4: Solve the resulting system by substitution or elimination.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

A café sells coffee for $3 and tea for $2. They sold a total of 17 items and earned $44. Let c be the number of coffees and t be the number of teas. How many of each did they sell?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Fruit Count

In a bag, there are apples and bananas. There are 2 more apples than bananas, and there are 14 fruits in total. How many apples and bananas are in the bag?
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Tom and Jerry have marbles. Together they have 10 marbles, and Tom has 2 more marbles than Jerry. Find how many marbles each has.

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4

Challenge Quiz

Single Choice Quiz
Advanced

Solve the system: $3x + 2y = 5$ and $4x – y = 6$

Please select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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Review key concepts and takeaways