Solving Systems of Linear Equations by Substitution

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91

• x + y = 91
  14.80x + 17y = 6

• x + y = 6
  14.80y + 17x = 91

• x + y = 91
  14.80x+ 17y = 6

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

• 4x + 7y = 578
  x + y = 3365

• 4x + 7y = 3365
  x + y = 578

• 4y + 7x = 578
  x + y = 3365

• 4y + 7x = 3365
  x + y = 578

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

What is the solution to this system of linear equations? 

y = -2x - 6
-2x + y = 6

• (0, -3)

• (-3, -12)

• (-3, 0)

• (3, -12)

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation? (hint: horses have 4 legs and chickens have 2 legs)

• x + y = 15

  4x + 2y = 44

• 4x + 2y = 15

  x + y = 44

• x = 2y + 44

  4x = y + 15

• 2x - 4y = 44

  x - y = 15

Solve the system of Linear equations by substitution.

Your solution is an ordered pair: example (1,2)

(x,y)

Solve for x and y!

Solve the system of linear equations by SUBSTITUTION.

Solve the system of linear equations by substitution.

Solve the system of linear equations by substitution.

Solve the system of linear equation by substitution.