Solving Systems of Equations

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

How is a coordinate pair ordered?

Back

(x, y)

Front

Is (1,10) a solution to the equations y=7x+5 and y=x+9?

Back

No.

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Front

Is (1,7) a solution for the equations y=3x+4 and y=x+6?

Back

Yes.

Front

What is a system of equations?

Back

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

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are the same and overlap completely.

Front

How do you find the solution of a system of equations graphically?

Back

By plotting the equations on a graph and identifying the intersection point.