Solving systems of equations by elimination

Front

What is the solution of a system of two identical (overlapping) lines?

Back

Infinite Solutions

Front

What is the slope and y-intercept of the equation y = 3x - 9?

Back

Slope = 3, y-intercept = -9

Front

What is the next step in solving the system by elimination for the equations 2x + 3y = 9 and 5x + 3y = 21?

Back

Multiply one equation by -1

Front

True or False: The solution to a system of equations is any ordered pair that makes both equations true.

Back

TRUE

Front

How many solutions does the equation 3x − 3 = −3 + 3x have?

Back

Infinitely Many 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 elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

What is the first step in using the elimination method?

Back

Align the equations so that like terms are in columns.

Front

If you have the equations 4x + 2y = 10 and 2x + y = 5, what can you do to eliminate y?

Back

Multiply the second equation by -2.

Front

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

Back

The lines intersect at one point.