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 removing one variable, allowing for the other variable to be solved directly.

Front

In the equation 9x - 3y = -3 and -5x + 3y = -1, which variable will be eliminated?

Back

the y

Front

In the equation 10x - 8y = -30 and -10x + 9y = 25, which variable will be eliminated?

Back

the x

Front

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

Back

It means that the lines represented by the equations are parallel and do not intersect.

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

Solve using elimination: 4x - 2y = 16 and 5x + 2y = 11. What is the solution?

Back

(3,-2)

Front

Solve using elimination: -6x - 6y = 18 and 6x + 6y = -24. What is the solution?

Back

no solution

Front

Solve using elimination: -10x - 9y = 9 and 10x + 7y = -7. What is the solution?

Back

(0,-1)

Front

What is the first step in the elimination method?

Back

The first step is to manipulate the equations so that the coefficients of one of the variables are opposites.

Front

How can you make the coefficients of y opposites in the equations 4x - 2y = 16 and 5x + 2y = 11?

Back

You can multiply the first equation by 1 and the second equation by 1 to keep the coefficients of y as -2 and +2.