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Solving a System of Linear Equations
Solve the systems of equations by substitution
Solve the systems of equations by elimination
Revision
Trivia Bonus
100

Consider the system: {3𝑥 + 2𝑦 = 7}. Determine if each ordered pair is a solution of the system.          𝑥 − 4𝑦 = -9


a) (-1, -2)                             b) (2, 3)

Neither ordered pair (-1, -2) nor (2, 3) is a solution to the given system of equations.

100

3𝑥 + 2𝑦 = −1 

𝑥 − 𝑦 = 3

The solution for the system is x=1 and y=−2.

100

𝑥 + 𝑦 = 5 

𝑥 − 𝑦 = 9

The solution for the system of equations is x=7 and y=−2.

100

A clothing store held a sale for one day. A t-shirt that originally cost $129.99 was sold for $90. How much did the customer saved?

39.99$

100

What does UNESCO stand for?

United Nations Educational, Scientific and Cultural Organization

200

Consider the system: { 2𝑥 − 3𝑦 = −4;  2𝑥 + 𝑦 = 4} . Determine if each ordered pair is a solution of the system. 

a) (1 , 2)                            b) (7 , 6)

a) Ordered pair (1, 2) is a solution of the system. 

b) Ordered pair (7, 6) is not a solution of the system.  

200

4𝑥 − 3𝑦 = 10

𝑦 = 2𝑥 – 6

x= 4

y= 2

200

5𝑚 + 3𝑛 = 24

2𝑚 + 4𝑛 = 18

m= 3

n= 3

200

Find the x and y intercepts of 3x - 2y=12

x= 4 and y=6

200

Which country do cities of Malaga, Bilbao, and Granada belong to?

Spain

300

34 . 33

37

300

𝑥 + 5𝑦 = 18

3𝑥 - 𝑦 = 6

x= 3

y= 3

300

4𝑥 + 3𝑦 = 10

4𝑥 - 2𝑦 = 5

x= 7/4

y= 1

300

𝟓𝒙3 − 𝟐𝒙 𝑤ℎ𝑒𝑛 𝒙 = −3

x= -129

300

What was the first feature-length animated movie ever released? (Hint: It was a Disney Movie)

Snow White and the Seven Dwarfs

400

425/417

48

400

𝑥 + 2𝑦 = 7

𝑥 - 3𝑦 = 2

x= 5

y= 1

400

3𝑥 + 4𝑦 = 20

3𝑥 - 𝑦 = 5

x= 8/3

y= 3

400

A square table has area of 49 square cm. Find the perimeter of this table.

28cm

400

What is the most consumed manufactured drink in the world?

Tea

500

A school carnival sold a total of 150 tickets for their funfair. Adult tickets cost $5 each, and child tickets cost $2 each. The total revenue from ticket sales was $540. How many adult and child tickets were sold?

The number of adult tickets sold (x) is 80, and the number of child tickets sold (y) is 70.

500

4𝑎 + 5𝑏 = 35

2𝑎 - 𝑏 = 6

a= 65/14

b= 23/7

500

2𝑝 + 5𝑞 = -21

3𝑝 - 𝑞 = 11

x =2

y= -5

500

A square tile has an area of 64 square centimeters. Find the length of one side of the tile.

8cm

500

How long do elephant pregnancies last?

22 months