SoE- Substitution & Elimination

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.

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 remaining variable.

Front

Solve by elimination: -2x + 6y = 16 and -4x - 3y = 2

Back

(-2, 2)

Front

Solve for x and y using substitution: y = -2x and 4x - y = 0

Back

(0, 0)

Front

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

Back

(7, -1)

Front

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

Back

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

Front

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

Back

It means that the equations represent parallel lines that never intersect.

Front

Solve the system by elimination: -8x - 10y = 20 and -8x - 6y = -4

Back

(5, -6)

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.