Solving Systems of Equations Review

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

How many solutions does this system of equations have?

Back

Infinitely Many Solutions

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Front

This system has _____ solutions.

Back

0

Front

Solve the system of equations: x + 2y = -3, x - y = -12

Back

(-9, 3)

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 two lines intersect at a point on a graph?

Back

The system has one unique solution.

Front

What is the graphical representation of infinitely many solutions?

Back

The lines coincide (are the same line).

Front

What is the substitution method?

Back

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

Front

What does it mean if two lines are parallel?

Back

They have the same slope but different y-intercepts, indicating no solutions.