Practice Solving Linear Equations In Two Variables (3) - Linear Equations
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Solving Linear Equations in Two Variables

Practice - Solving Linear Equations in Two Variables

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve: x + y = 12 and x - y = 4 using the elimination method.

💡 Hint: Add the two equations to eliminate y.

Question 2 Easy

What does the intersection of two lines represent?

💡 Hint: Think about what the point means on the graph.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the graphical method involve?

Finding the slope
Calculating the area
Plotting equations on a graph

💡 Hint: Think about how you visualize functions!

Question 2

True or False: Solutions to two-variable linear equations are always single points.

True
False

💡 Hint: Consider how lines are plotted in a graph!

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A sales person sells x books for $5 each and y books for $10 each. The total sales amount to $120. If x + y = 15, how many of each type of book did they sell?

💡 Hint: Set up the equations based on the total sales and quantities.

Challenge 2 Hard

Two cars start from the same point. Car A travels at a speed of 60 mph and Car B at 80 mph. If car A travels for 2 hours and car B travels for 1 hour longer, write a system of equations for their distances and solve for how far each car traveled.

💡 Hint: Use D=ST to relate their respective distances!

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