Solving Equations Using Graphs (AQA GCSE Maths): Flashcards

📚Flashcards
Solving equations using graphs
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Where graphical solutions are found

At intersection points where graphs cross

What do intersection points represent?

Values that satisfy both equations simultaneously

How to solve simultaneous equations graphically

Draw both graphs on same axes, find where they cross

Shape of x2+y2=16x^2 + y^2 = 16

Circle centred at origin with radius 4

Solving sinx=0.7sin x = 0.7 graphically

Draw y=0.7y = 0.7 line on y=sinxy = sin x graph, find intersections

What are the solutions at intersection points?

The coordinates (x, y) where the graphs meet

Typical precision for graphical solutions

1 decimal place unless stated otherwise

Solving 2x23x=72x^2 - 3x = 7 graphically

Plot y=2x23xy = 2x^2 - 3x, draw horizontal line at y=7y = 7

Why rearrange eqns for graphical method

To use graphs already drawn, saves time

Important check for graphical solutions

Look for all intersections - may have multiple solutions

Join 100,000+ GCSE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.