Solving Systems of Linear Equations with Elimination

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of linear equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the elimination method?

Back

A technique for solving systems of linear equations by eliminating one variable, allowing for the solution of the other variable.

Front

How do you eliminate a variable in a system of equations?

Back

By adding or subtracting the equations after multiplying them by suitable coefficients to make the coefficients of one variable equal.

Front

What is the first step in using the elimination method?

Back

Align the equations and decide which variable to eliminate.

Front

Solve using elimination: 6x - 16y = -8 and 2x + 8y = -16.

Back

(-4, -1)

Front

Solve using elimination: 10x - 14y = -4 and -7x + 7y = 0.

Back

(1, 1)

Front

Solve using elimination: 3x + 4y = -1 and -2x - 5y = 10.

Back

(5, -4)

Front

Solve using elimination: 4x + 3y = 22 and 2x - y = -14.

Back

(-2, 10)

Front

Solve using elimination: 4x + 6y = 14 and 8x + 9y = 25.

Back

(2, 1)