Integrated 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, allowing for the solution of the remaining variable.

Front

Solve the system by substitution: 5x + 4y = -14, y = -7x - 15

Back

(-2, -1)

Front

Solve the system by substitution: y = -2x + 18, y = 8

Back

(5, 8)

Front

Solve the system of equations: y = -2, 4x - 3y = 18

Back

(3, -2)

Front

Solve the following system: -7x - 2y = -13, x = 2y + 11

Back

(3, -4)

Front

Solve: x = -3y + 1, -3x - 3y = -15

Back

(7, -2)

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 do not 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

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to verify that both equations are satisfied.