Solve Systems of Linear Equations by Substitution

Front

What type of lines are created if a system of linear equations has no solution?

Back

Parallel lines

Front

Solve the system by substitution: 5x + 4y = -14, y = -7x - 15

Back

(-2, -1)

Front

What point is a solution to the system of equations: 3x + 2y = 16, 7x + y = 19?

Back

(2, 5)

Front

Solve the system by substitution: x + 2y = 2, x = -4y + 2

Back

(2, 0)

Front

Solve by Substitution: y = -6, -3x - 6y = 24

Back

(4, -6)

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.

Front

What does it mean to solve a system of equations by substitution?

Back

To solve one equation for one variable and substitute that expression into the other equation.

Front

If two lines intersect at one point, what type of system do they represent?

Back

A consistent and independent system.

Front

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

Back

The same line represented by both equations.