Solving Simultaneous Linear and Quadratic Equations

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

What are the solutions to the graphed system?

• (0,-2) and (3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

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 simultaneous equations represent this situation?

• x+y=134

  x+y=120

• 3x+3y=134

  4x+3y=120

• 4x+3y=134

  3x+3y=120

• 7xy=134

  6xy=120

If x+y=5 and 2x−y=1, what is the value of x?

• 2

• 3

• 4

• 5

• intersecting

• non-linear

• quadratic

• simultanous

Solve the Simultaneous Equations: a+b= 3; a-b= -7

• a=-2, b = 5

• a=2, b = -5

• a=2, b = 5

• a=-2, b = -5

Solve these simultaneous equations.

• x = 6 , y = 20

• x = 6 , y = 27

• x = 0 , y = 3

• x = -1 , y = -3

Solve these simultaneous equations

• x = 0 & y = 5

• x = -3 & y = 6

• x = 2 & y = 5

• x = -3 & y = 5

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Sam is solving these equations. What is the error in his working below?

• He chose the wrong sign for a bracket, so one of the pair of solutions is wrong.