Solving Systems Review

Front

When both lines in a system are identical, the system has __________________.

Back

infinite solutions

Front

In Algebra, a group of two or more equations is called a ___________.

Back

system

Front

What does it mean to 'solve a system'?

Back

Find the point that satisfies all of the equations.

Front

What is the solution of the system represented by the equations y = 2x + 1 and y = 2x + 1?

Back

infinite solutions (same line)

Front

What is the solution of the system represented by the equations y = x + 2 and y = -x + 2?

Back

(2, 4)

Front

What does it mean if two lines are parallel in a system of equations?

Back

There is no solution.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.