A.5C System of Two Linear Equations

Front

What is a system of two linear equations?

Back

A set of two equations with two variables that can be solved simultaneously.

Front

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

Back

The two lines intersect at exactly one point on a graph.

Front

What does it mean for a system of equations to have no solution?

Back

The two lines are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The two equations represent the same line, so they intersect at every point on that line.

Front

How do you solve a system of equations by substitution?

Back

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

Front

How do you solve a system of equations by elimination?

Back

Add or subtract the equations to eliminate one variable, making it easier to solve for the other.

Front

What is the graphical representation of a system of equations?

Back

The solution is represented by the point(s) where the lines intersect on a graph.

Front

If x = 2 and 3x + y = 5, what is the value of y?

Back

y = -1.

Front

Solve by substitution: y = 3x + 14 and y = -4x. What is y?

Back

y = -2.

Front

What is the y-intercept in a linear equation?

Back

The point where the line crosses the y-axis (x=0).