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Unit 4 Vocab

Systems of Equations

TermDefinition
Consistent system a system of equations or inequalities that has at least one solution
Elimination method a method used to solve systems of equations in which one variable is eliminated by adding or subtracting two equations of the system
Inconsistent system a system of equations or inequalities that has no solution
Infinite solutions all numbers are solutions; both sides of an equation are the same or two graphed lines coincide
Parallel lines lines in the same plane that do not intersect
Perpendicular Lines lines that intersect at 90° angles
Simultaneous Equations two or more algebraic equations that share variables
Slope of parallel lines slopes that are equal and the lines never intersect
Slope of perpendicular lines Slope that are the negative reciprocal of other lines
Solution to a System of Equations/Inequalities any ordered pair that satisfies all the equations/inequalities in a linear system
Substitution Method a method used to solve systems of equations by solving an equation for one variable and substituting the resulting expression into the other equation(s)
Systems of Linear Equations consists of two or more linear equations made up of two or more variables such that all equations in the system are considered simultaneously.
x-intercept the x-coordinate of the point where a graph intersects the x-axis
y-intercept the y-coordinate of the point where a graph intersects the y-axis
Created by: user-1916111
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