Unit 4 Review: Solving System of Equations

Front

A system has ____________ when two equations are exactly the same and overlap each other.

Back

Infinitely Many Solutions

Front

A system has ____________ when two equations have the same slope but different y-intercepts and are parallel.

Back

No solution

Front

Solve the system of equations: 2x + 3y = 12 and x - y = 1.

Back

(2, 2)

Front

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

Back

get either variable by itself

Front

What is the solution to the system: 3x + 2y = 6 and x - y = 3?

Back

(1, 3)

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

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

Front

If two equations are dependent, what can be said about their solutions?

Back

They have infinitely many solutions.