Modeling Simultaneous Equations

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Solve the Simultaneous Equations:

x + y = 3

2x - y = 6

• x = 0, y = 3

• x = 3, y = 0

• x = 1, y = 2

• x = 2, y = 1

Which of the following methods is NOT suitable for solving a pair of simltaneous equations?

• Graphical

• Substitution

• Unitary

• Elimination

Solve the Simultaneous Equations:

x + y = 5

x - y = 1

• x=2, y=3

• x=3, y=2

• x=3, y=-2

• x=-3, y=2

Write an equation. Putri Qis buys 8 packs of markers. Each pack contains the same number of markers. Putri Qis gave 10 markers to her brother. Then, she has 54 markers left.

• 8 - 10 = 54

• 8p - 10 = 54

• 8p + 10 = 54

• 54 + 8p = 10

Solve the Simultaneous Equations:

4x - y = 3

4x - 3y = 7

• x = 2, y = 5/3

• x = 1, y = 1

• x = -2, y = 1/4

• x = 1/4, y = -2

A man is three times as old as his daughter. If the difference in their ages is 36 years, find the ages of the father and daughter.

• 20 and 56

• 18 and 54

• 22 and 58

• 15 and 45

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

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

When do a pair of simultaneous equations have NO solution?

• When the lines are perpendicular

• When the lines have the same y-intercept

• When one line has an undefined gradient

• When the lines have the same gradient