Substitution Method

Front

What is the Substitution Method in solving systems of equations?

Back

The Substitution Method is a technique for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

How do you solve for y in the equation y = 6?

Back

The equation is already solved for y; it states that y equals 6.

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 will 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 using Substitution: y = -6, -3x - 6y = 24. What is the solution?

Back

(4, -6)

Front

What is the first step in the Substitution Method?

Back

The first step is to solve one of the equations for one variable in terms of the other variable.

Front

If y = 6, what is the solution to the equation -5x - 4y = -9?

Back

(-3, 6)

Front

What is the solution to the system of equations 2x - 10y = 7 and 2x - 10y = 4?

Back

No solution.

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 does it mean to 'solve' a system of equations?

Back

To find the values of the variables that satisfy all equations in the system.