Systems of Equations Flashcards

Grade 9 · Math · Flashcards

Master key vocabulary for solving systems of linear equations in Grade 9 Math.

Flashcards

System of equations
Two or more equations with the same variables solved together
Solution of a system
An ordered pair (x, y) satisfying all equations in the system
Substitution method
Isolate one variable in one equation and substitute into the other
Elimination method
Add or subtract equations (after multiplying if needed) to cancel one variable
Graphing method
Plot both lines; the intersection point is the solution
Consistent system
A system that has at least one solution
Inconsistent system
No solution — the lines are parallel and never meet
Dependent system
Infinitely many solutions — the equations describe the same line
Ordered pair
A pair of values (x, y) representing a point on the coordinate plane
Parallel lines
Lines with the same slope but different y-intercepts; they never intersect
Point of intersection
The single (x, y) coordinate where two lines cross
Coefficient matching
Multiplying equations so one variable's coefficients are equal before eliminating

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