Overview: Systems Of Linear Equations

Establish the need for solving two interdependent equations simultaneously using a real-world scenario.

4 lessons4 concepts

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checklist

Before We Begin

Check prerequisite skills in linear equations.

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Before You Start — Check What You Know

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IMAGE

Akhila at the Fair

Illustration of the Giant Wheel and Hoopla stall context.

$photorealistic educational scene, shot on 35mm lens, natural lighting with soft bokeh, golden hour or soft diffused daylight, professional documentary photography quality, culturally respectful. A young Indian girl at a vibrant village fair standing thoughtfully between a large illuminated Giant Wheel and a colorful Hoopla ring-toss stall. Small rustic wooden signs next to the attractions clearly display '₹3 per ride' and '₹4 per game'.$

Click to zoom

Everyday choices, like budgeting money for fair games, can be modeled using pairs of linear equations.

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content

Real-World Math

Introduction to simultaneous linear equations via a word problem.

Akhila's Trip to the Fair

By the end of this chapter, you'll be able to solve real-life puzzles involving multiple constraints.

Imagine Akhila goes to her village fair. She wants to ride the Giant Wheel and play Hoopla (a ring-toss game).

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quiz

Check Your Knowledge

Quick diagnostic on basic coordinate evaluation.

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Akhila's equation for her total cost is $3x + 4y = 20$ , where $x$ is Giant Wheel rides and $y$ is Hoopla games. If she had exactly 4 Giant Wheel rides ( $x=4$ ), how many Hoopla games did she play to exactly spend her ₹20 budget?

Hint

Concept: intro-systems. Substitute x = 4 into the equation 3x + 4y = 20, which gives 12 + 4y = 20. Now solve for y.

concepts · 4

← previousChapter Overview: Understanding Polynomi...next →Graphical Method And Line Behavior

quiz

Check Your Knowledge

Quick diagnostic on basic coordinate evaluation.

1 / 4

Hint

Concept: intro-systems. Substitute x = 4 into the equation 3x + 4y = 20, which gives 12 + 4y = 20. Now solve for y.

Overview: Systems Of Linear Equations

Before We Begin

Akhila at the Fair

Real-World Math

Akhila's Trip to the Fair

Check Your Knowledge

Graphical Method And Line Behavior

Solving By Substitution Method

Solving By Elimination Method

Chapter Review: Pair Of Linear Equations

Before We Begin

Akhila at the Fair

Real-World Math

Akhila's Trip to the Fair

Check Your Knowledge