Quiz on Solving Equations with Substitutions

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Make sure at least one equation is solved for one variable.

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour 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 colour 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

• (3, 4)

• (4, 3)

• (4, 4)

• (3, 3)

• (1, 2)

• (1, 1)

• (2, 1)

• (2, 2)

Solve the simultaneous equations

a+b=11

a-b=3

• a=7, b = 4

• a=-4, b= 7

• a=4, b = 7

• a=4, b= -7

Using the simultaneous equations 2x+10y=60 and -45 + 30y = 21x, find the solution, giving your answer as a coordinate pair

• (6, 5)

• (5, 5)

• (5, 6)

• (5, 5)

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 system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Solve the system of equations.

• (3, 33)

• (7, 77)

• (2, 22)

• No solution

• Infinite solutions

Solve with substitution

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)