System of Equations

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

Two equations that produce the same line have _____ solution(s).

Back

infinitely many

Front

Solve by substitution: y= 4x + 3; 2x - 3y = 21

Back

(-3,-9)

Front

Solve by elimination: -12x-4y= -8; -6x-2y= -4

Back

infinite solutions

Front

Solve: -4x-2y=-12; 4x+8y=-24

Back

(6,-6)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

What is the substitution method?

Back

A method for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting equations to eliminate one variable.