Linear Systems Substitution

Find the solution to this system of equation using substitution:

y = 2x -13

-4x - 7 = 9y

Find the solution to this system of equation using substitution:

5x - 2y = -7

5 = y - 3x

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

What is the solution to this system?
x - y = 6
y = 2x - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120

• 3x+3y=134
  4x+3y=120

• 4x+3y=134
  3x+3y=120

• 7xy=134
  6xy=120

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50

• d + c = 50
  4d + 2c = 174

• d + c = 50
  2d + 4c = 174

• d + c = 174
  2d + 4c = 50

Solve the linear system using the substitution method.

10x + y = 14

-8x + 3y = 23

• (1, 9)

• (0.5, 9)

• (-2, 2.3)

• (2, -6)

Fill in the blank: The substitution method is a way to solve systems of equations by ________________ equations within one another.

• graphing

• eliminating

• substituting

• solving

What is the first step to using the substitution method for solving a system of equations?

• Solve both equations for y.

• Solve both equations for x.

• Write both equations in standard form.

• Solve on equation for x or y.

What is the best choice for solving the given system?

y=4x-1

y=2x-5

• Solve both equations for x.

• Plug in 4x-1 for y in the second equation.

• Plug in 4x-1 for x in the second equation.

• Plug in 2x-5 for x in the first equation.