Solving Systems of Linear Equations by Substitution

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

Solve using Substitution

y = -1x - 5

4x - 8y = 4

• (-3, -2)

• (5, -7)

• (-3, 8)

• (-5, 4)

Solve this system of equations.

y = 2x + 1

y = 4x - 1

• (1,3)

• (1,-3)

• (-1,3)

• (3,1)

2x + y = 18

y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

Which method is most appropriate to solve the following system:

x = 3 y

2 x - 10 y = 32

• the substitution method

• the multiplication w/ addition method

• matrix multiplication method

• double distribution method

Which ordered pair is the solution to the following system:

2 x + 1 y = 6

3 x - 2 y = 2

• (2, 4)

• (2, 2)

• (4, 2)

• (6, - 6)

Solve the following system:

2 w - 3 z = - 1

3 w + 4 z = 24

• (4, 3)

• (- 3, 2)

• (2, - 3)

• (3, 4)

Which of the following statements is NOT true?

• Systems of linear equations in two variables can be used to solve word problems.

• If two linear equations are parallel, then that system of linear equations has infinitely many solutions.

• If a system has only one point of intersection, then that ordered pair is the only solution of both equations.

Which ordered pair solves the following system:

x - y = 0

-3 x = 3 y

• (- 3, - 3)

• (0, 0)

• (1,1)

• no solution

What is the x-coordinate of the ordered pair that solves:

1 x + 1 y = 3

1 x - 1 y = 4

• (14, 0)

• 3.5

• 7

• (2, 7)