SOLVING SYSTEMS OF EQUATIONS ( 3 methods) Review

Front

What is a system of equations?

Back

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

Front

What are the three methods to solve systems of equations?

Back

1. Graphing 2. Substitution 3. Elimination

Front

Define the elimination method.

Back

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

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

How do you graph a linear equation?

Back

1. Find the y-intercept. 2. Use the slope to find another point. 3. Draw the line through the points.

Front

What does it mean for a system of equations to be consistent?

Back

A system is consistent if it has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

A system is inconsistent if it has no solutions.

Front

What is the solution of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is the graphical representation of y = -x + 2?

Back

A straight line with a slope of -1 and a y-intercept of 2.