Algebra Chapter 4 Systems of Equations

system of linear inequalities

two or more linear inequalities on a graph

solution of a system of linear inequalities

any point that is true for BOTH inequalities

system of equations

two or more linear equations on a graph

cost

the amount of money you spend on something

revenue

the amount of money you earn as income

break-even point

when cost is equal to revenue; expenses equal income

solution to a system of linear equations

a coordinate point that is a solution to both linear equations on a graph

one solution

when two lines intersect at one point, there is one solution

no solution

when two lines do not intersect, there is no solution

infinitely many solutions

when two lines are the same line, they intersect at infinitely many points

substitution

to replace a variable with an expression that is equivalent

elimination

to add or subtract to equations to eliminate one variable, then solve for the other

sweet potato

a yam

beet root

a red vegetable