Math 8 - Systems of Equations

Front

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

Back

The two lines are intersecting lines.

Front

Solve the system using substitution: 3x + 2y = 16 and y = -7x + 19.

Back

(2, 5)

Front

Solve using elimination: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7, -1)

Front

Solve the system of equations by substitution: y = -4x + 5 and y = 3x - 16.

Back

(3, -7)

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(1, 1)

Front

What are parallel lines in the context of systems of equations?

Back

Parallel lines have no solutions as they never intersect.

Front

What is the graphical representation of a system of equations with infinitely many solutions?

Back

The two lines are the same line.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate a variable.

Front

What is substitution in the context of solving systems of equations?

Back

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

Front

If a system of equations has no solution, what does this indicate about the lines?

Back

The lines are parallel.