{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 1140 L19 - Lecture 19 Sections 7.1 and 7.2 System of...

This preview shows pages 1–4. Sign up to view the full content.

Lecture 19: Sections 7.1 and 7.2 System of Equations Def. A system of equations is a collection of two or more equations, each containing one or more variables. Def. A system of the following form ( a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 is a system of two linear equations in two variables . The solution set of the system is all ordered pairs ( x; y ) that satisfy both equaitons.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Solving by Graphing ex. Solve each system: 1) ± x + 2 y = 4 x ± y = 1 2) ± x ± y = ± 1 ± 2 x + 2 y = 2 3) ± x + y = 3 x + y = ± 2 There are 3 possibilities: 1. The lines intersect at one point. The system has exactly one solution . 2. The lines coincide . There are in±nitely many solutions (every point on the line). 3. The lines are parallel . The system has no solutions . To solve a system of equations is to ±nd the intersecting point(s) of the equations.
The Method of Substitution 1. Solve for one variable in an equation in terms of the other. 2.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 10

1140 L19 - Lecture 19 Sections 7.1 and 7.2 System of...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online