System of linear equations

Front

What are the three methods we have learned to solve Systems of Equations?

Back

Graphing, Substitution, and Elimination

Front

Solve for x and y: y = 2/3x - 2 and y = -x + 3

Back

(3,0)

Front

When you graph the exact same equation twice, what do you get?

Back

You will have infinite solutions.

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19

Back

(2,5)

Front

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

Back

Parallel lines.

Front

What is a system of linear equations?

Back

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

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What is the substitution method?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the elimination method?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

What does it mean if two lines are parallel?

Back

They have no points in common, indicating no solution.