Math121 discussion - systems of equations

Math121 discussion - systems of equations - SYSTEMS OF...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
SYSTEMS OF EQUATIONS WITH 2 VARIABLES (1) A system of equations is a collection of equations with the same set of variables. A system of linear equations will only have linear equations in it (i.e. equations of the form Ax + By + Cz + .... = 0 where x,y,z, etc. represent the variables and A,B,C, etc. represent the coefficients of the variables). (2) A solution to the system of equations will be the set of values that makes all the equations in the system true when you plug them in. In a 2-dimensional linear system, we call the solution an ordered pair ( x,y ), because the order matters (i.e. ( x,y ) 6 = ( y,x ) unless x = y ). (3) Graphically, the solution to a system of equations with 2 variables is the point(s) where the lines intersect on the xy-plane. If the lines do not intersect at any point, then there is no solution to the system. (4) A system of equations with 2 variables is generally of the form: ( Ax + By = C Dx + Ey = F (5) When we encounter a system with 2 variables, we should solve the system using
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

Math121 discussion - systems of equations - SYSTEMS OF...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online