Solving Systems by Elimination Easy

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing the other variable to be solved directly.

Front

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

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.

Front

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

Back

A system of equations has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.

Front

Solve using elimination: x + y = 3 and -x - 10y = -30.

Back

(0, 3)

Front

Which variable will be eliminated in the system: 10x - 8y = -30 and -10x + 9y = 25?

Back

the x

Front

Solve using elimination: 4x - 2y = 16 and 5x + 2y = 11.

Back

(3, -2)

Front

Solve using elimination: -6x - 6y = 18 and 6x + 6y = -24.

Back

no solution

Front

Solve using elimination: -10x - 9y = 9 and 10x + 7y = -7.

Back

(0, -1)

Front

What is the first step in the elimination method?

Back

The first step is to manipulate the equations so that when added or subtracted, one variable is eliminated.

Front

How can you make the coefficients of a variable the same in both equations?

Back

You can multiply one or both equations by a number to achieve the same coefficient for the variable you want to eliminate.