Systems: Substitution

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 of equations: y = 7x + 9 and 2y + 2x = -14.

Back

(-2, -5)

Front

What does it indicate if a system of equations has infinite solutions?

Back

The equations represent the same line.

Front

Solve the system of equations: y = -1x - 5 and 4x - 8y = 4.

Back

(-3, -2)

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel.

Front

Define a system of linear equations.

Back

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

Front

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

Back

Replacing one variable with an expression involving the other variable.

Front

Solve for y: 2y + 2x = -14 when x = -5.

Back

y = -2.

Front

What is the graphical representation of a system with exactly one solution?

Back

Two lines intersecting at a single point.

Front

If two lines are parallel, what can be said about their slopes?

Back

They have the same slope.