Elimination or Substitution?

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 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.

Front

When is it best to use the elimination method?

Back

The elimination method is best used when the coefficients of one variable are the same or can be easily manipulated to be the same.

Front

When is it best to use the substitution method?

Back

The substitution method is best used when one equation is already solved for one variable or can be easily rearranged.

Front

Solve the system by elimination: 4x - 5y = 14 and -6x + 6y = -6.

Back

(0, -1)

Front

Solve the system by substitution: y = 5x - 7 and -3x - 2y = -12.

Back

(2, 3)

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 solution?

Back

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

Front

Solve the system by elimination: 2x - 3y = 18 and 5x - 3y = 9.

Back

(-3, -8)

Front

Identify the best method: 2x - 3y = -1 and y = x - 1.

Back

Substitution