Solving Systems of Linear Equations

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect. They have the same slope.

Front

What does it mean if two lines have different slopes?

Back

If two lines have different slopes, they will intersect at exactly one point.

Front

How do you solve a system of linear equations?

Back

You can solve a system of linear equations using methods such as substitution, elimination, or graphing.

Front

What is the solution to the system of equations y=-x+4 and y=2x+4?

Back

The solution is (0,4).

Front

What is the setup fee for the first company in the shirt problem?

Back

The setup fee for the first company is $43.

Front

What is the equation representing the cost of shirts from the first company?

Back

The equation is y = 9.65x + 43.

Front

What is the equation representing the cost of shirts from the second company?

Back

The equation is y = 8.40x + 58.

Front

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

Back

It means the lines are parallel and will never intersect.

Front

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

Back

The solution is (3,0).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.