Solve by graphing and 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

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

Back

Infinitely many solutions.

Front

Solve the system using SUBSTITUTION: 3x - y = -8, x = -2

Back

(-2, 2)

Front

What is the solution to the system of equations: 2x - 3y = -1, y = x - 1?

Back

(4, 3)

Front

When graphing systems, if the two slopes are the same, what does it imply?

Back

The lines are parallel and have no solution.

Front

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

Back

It means that the equations represent the same line.

Front

How do you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the first step in using substitution to solve a system of equations?

Back

Isolate one variable in one of the equations.

Front

Solve the system using SUBSTITUTION: x + y = 5, y = 2x - 1

Back

(2, 3)

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines representing the equations.