SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION Day 2

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

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

Back

A system has no solution if the equations represent parallel lines that never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

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

Front

Solve by elimination: 3x + 7y = 23 and -3x - 7y = -17

Back

No solution.

Front

Solve using elimination: -4x - 4y = 0 and 8x + 8y = 0

Back

Infinite number of solutions.

Front

Solve by elimination: 4x + 4y = 4 and 3x + 4y = 10

Back

(-6, 7).

Front

Solve using elimination: 4x + 8y = 20 and -4x + 2y = -30

Back

(7, -1).

Front

Solve by elimination: 2x + 9y = -7 and 6x - 3y = 9

Back

(1, -1).

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What is the first step in the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.