Understanding Writing Systems of Linear Equations from Word Problems
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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
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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?
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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 $4x – y = 6$
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