Substitution and Elimination Practice

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 other variable.

Front

Solve the system using substitution: y = 2x + 3, x + y = 10.

Back

(2, 6)

Front

Solve the system using elimination: 3x + 2y = 12, 4x - 2y = 8.

Back

(2, 3)

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

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

Front

Solve the system: 2x + 3y = 6, x - y = 1.

Back

(3, 0)

Front

What is the first step in using the elimination method?

Back

Align the equations so that like terms are in the same column.

Front

Solve the system using substitution: x = 4y + 1, 2x - y = 3.

Back

(1, 0)

Front

What is a key advantage of the substitution method?

Back

It can be easier to use when one equation is already solved for one variable.