1: name 3 methods for solving equations.
2: if a system has no solution, how does it look on a graph?
3: describe the characteristics of a graph when systems of equations have infinitely many solutions.
4: identify the solution to a system of equations for a graph.
1- The Substitution Method, Addition Method and Graphing method
2- The system is graphed as parallel lines, no interception between equations
3- One of the graphed lines is merged inside the other, it appears that an equation is missing.
4- The equations are graphed showing a common interception.
Infinitely the slopes are the same and the y-intercepts are the same but they intersect everywhere and the lines are the same.
A system of equations refers to a number of equations with an equal number of variables. We will only look at the case of two linear equations in two unknowns. The situation gets much more complex as the number of unknowns increases, and larger systems are commonly attacked with the aid of a computer.
A system of two linear equations in two unknowns might look like
This is the standard form for writing equations when they are part of a system of equations: the variables go in order on the left side and the constant term is on the right. The bracket on the left indicates that the two equations are intended to be solved simultaneously, but it is not always used.
2: if a system has no solution, how does it look on...