SUBSTITUTION or Elimination
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Riddles
100
  • x=4βˆ’y
  • x+y=2

No Solution

100

y=3x+8

y-6x=6

One solution

100

What comes once in a minute, twice in a moment, but never in a thousand years

The letter M

200

x βˆ’ 2y = 10

x + 3y = 5

(8,-1)

200

What is the solution to 

4x+6y=6x

y=2x-10

6,2

200

What has hands but can’t clap?

A clock

300

πŸ”π’™ βˆ’ 3π’š = βˆ’3

π’š = 4𝒙 + 𝟏

0,1

300

Josh buys 10 t-shirts and 6 hats for $250.
He then buys 7 t-shirts and 4 hats for $150.

Can you give me a system of equation that fits


 

10x+6y=250

7x+4y=150

300

I’m tall when I’m young, and I’m short when I’m old. What am I?

A candle

400

x + 3y = 6

2x βˆ’ 7y = βˆ’1

(3,1)

400

Jordan found a stash of coins in an old backpack. There were a total of 40 nickels and quarters, and the total value was $5.00.
How many nickels and how many quarters did Jordan find?

25 nickels and 15 quarters

400

A farmer has 17 sheep. All but 9 run away. How many sheep does he have left

8

500

A school cafeteria sells two types of lunch items: sandwiches and salads. A sandwich costs $8 and a salad costs $7. One day, the cafeteria sold 10 lunch items for a total of $74.
How many sandwiches did they sell?

4 sandwichs