Download presentation

Presentation is loading. Please wait.

Published byRandall Howard Modified over 8 years ago

1
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use SimultaneousEquations Stage 6 - Year 12 Mathematic (Preliminary)

2
2 Make ‘y’ the subject in 1. Substitute 1a into equation 2. 5x + 2 = 7 Equations Linear Simultaneous Equations Substitution Example 2x - y = -1 1. x + 2y = 7 2. y = 2x + 1 1a. 5x = 5 x = 1 x + 2(2x + 1) = 7 Sub x = 1 into 2. 1 + 2y = 7 2y = 6 y = 3 Solution (1, 3) y y

3
3 Equation 1. times 2 Add equation 2. and 1a. Equations 3 Linear Simultaneous Equations Elimination Example x = 1 2x - y =-1 1. x + 2y = 7 2. Sub x = 1 into 2. 1 + 2y = 7 2y = 6 y = 3 Solution (1, 3) 4x - 2y = -2 1a. 1.x2 5x = 5 1a+2

4
4 Equations Non-Linear Simultaneous Equations Substitution Example 3x + y = -2 1. y = x 2 2. Substitute equation 2 into equation 1. 3x + x 2 = -2 x 2 + 3x + 2 = 0 (x + 2)(x + 1) = 0 x = -2, x = -1 Sub x = -1 into eq. 2 Y = (-1) 2 = 1 Sub x = -2 into eq. 2 Y = (-2) 2 = 4 Solution (-1, 1) Solution (-2, 4)

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google