Solving System of Equation using Elimination

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

How do you determine which variable to eliminate in a system of equations?

Back

You can determine which variable to eliminate by looking for coefficients that can easily be made equal through multiplication or by identifying which variable has the simplest path to elimination.

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations so that corresponding variables and constants are in the same columns.

Front

Given the system of equations 8x - 5y = 76 and 12x + 5y = 64, what is the solution?

Back

The solution is (7, -4).

Front

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

Back

The variable x will be eliminated.

Front

What is the solution to the system x + 6y = 17 and x - 3y = 8?

Back

The solution is (11, 1).

Front

How do you solve the system -6x + 5y = 1 and 6x + 4y = -10 using elimination?

Back

Add the two equations to eliminate x, resulting in 9y = -9, then solve for y.

Front

What does it mean to 'eliminate' a variable in a system of equations?

Back

To 'eliminate' a variable means to manipulate the equations so that one variable is removed, allowing for the other variable to be solved.

Front

After adding two equations, if you get 41x = 82, which variable was eliminated?

Back

The variable y was eliminated.

Front

What is the value of x if 41x = 82?

Back

x = 2.