Elimination or Substitution?

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

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

When is it best to use the substitution method?

Back

The substitution method is best used when one equation is easily solvable for one variable.

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 made the same.

Front

Solve by substitution: y = 2x + 3, 4x - y = 1

Back

(1, 5)

Front

Solve by elimination: 2x + 3y = 12, 4x - 3y = 6

Back

(3, 0)

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system of equations has infinitely many solutions when the equations represent the same line, meaning they intersect at every point on that line.

Front

Solve by substitution: 3x + 2y = 6, y = x - 1

Back

(2, 0)