Systems of Equations with Two Variables

A solution to a system of linear equations with two variables is written as an ordered pair ( x, y ).

• True

• False

A solution to a system

of two linear equations

in two variables

must make BOTH

equations TRUE.

• False

• True

A system of linear equations in two variables can have how many ordered pair ( x, y ) solutions?

(select all correct answers)

• none

• one ordered pair solution

• infinite ordered pair solutions

Tags

CCSS.8.EE.C.8B

Solve this system

of linear equations.

x = 8 - 4y

3x + 5y = 3

• ( 20, -3 )

• ( 3, -4 )

• ( -4, 3 )

• ( -3, 20 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system of equations? Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

Tags

CCSS.8.EE.C.8B

What is the solution to this system of equations?

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

Tags

CCSS.8.EE.C.8B

What is the solution to this system of equations? Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

Tags

CCSS.8.EE.C.8B

• (-7,7)

• (-7,-7)

• No Solution

• Infinite Solutions

• (7,-7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t: # of tacos
  m: # of glasses of milk

• t: Cost of each taco
  m: Cost of each glass of milk

• t: total cost
  m: # of food items

• t: Cost of each glass of milk
  m: Cost of each taco

Tags

CCSS.8.EE.C.8C

Solve this system

of linear equations.

y = -4x + 5

2x - 3y = 13

• ( 3, -2 )

• ( -3, 2 )

• ( -2, 3 )

• ( 2, -3 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6