System of Equations Review

Front

Solve for Y: 5x + 6y = -10; 3x - 2y = -6

Back

(-2, 0)

Front

What is the solution to the system? (6, 8), (8, 6), (-6, 8), No solution

Back

(6, 8)

Front

What is the solution to this system? x - y = 6; y = 2x - 5

Back

(-1, -7)

Front

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

Back

parallel lines

Front

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

Back

Adult $12; Child $13

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have a unique solution?

Back

It means the lines intersect at exactly one point.

Front

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

Back

It means the system has at least one solution.

Front

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

Back

It means the system has no solutions.

Front

What is the substitution method in solving systems of equations?

Back

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