WU: Solving Systems of Equations

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

How many solutions will this system have if the lines are parallel?

Back

No solution

Front

What is the solution to this system of equations: 2x + 3y = 6 and x - y = 1?

Back

(4, -1)

Front

Solve this system: 3x + 2y = 12 and x + y = 5.

Back

(1, 4)

Front

When you graph the exact same equation twice, what is the result?

Back

You will have infinite solutions.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

Two lines that intersect at a single point.

Front

If a system of equations has infinitely many solutions, what can be said about the equations?

Back

They represent the same line.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one equation for one variable.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate a variable.