10 terms

System of Equations

two or more equations considered at the same time, sometimes called "simultaneous equations"

Slope-Intercept Form

y=mx+b where m, the coefficient of x, is the slope and the constant, b, is the y-intercept

Standard Form

Ax + By = C

Solve by Graphing

Point of Intersection is the solution to the system.

Solve by Substitution

If one equation has an "isolated" variable, substitute for it in the other equation and solve.

Solve by Elmination

Sometimes called linear combination, often used when all equations are in Standard Form

5x + 7y = 11

2x - 14y = 10

5x + 7y = 11

2x - 14y = 10

Inconsistent System

No solution, parallel lines

Consistent System

Has at least one solution

Coinciding Lines

Infinite Solutions, the Same line

System of Inequalities

Solution region is the overlapping region that satisfies both inequalities.