Systems of Equations

Solving Systems of Equations

100

y=x+2

y=5

x=3, y=5

200

x+y=10

x−y=2

x=6, y=4

300

2x+y=7

x−y=2

x=3, y=1

400

3x+2y=12

x+y=5

x=2, y=3

500

2x+3y=13

4x−y=5

x=2, y=3

System of Equations Word Problems

100

The sum of two numbers is 12. Their difference is 4. What are the numbers?

8 and 4

200

A movie ticket costs $10 for adults and $6 for kids. One adult and one kid ticket costs $16 total. What is the system?

a+k=2

10a+6k=16

300

There are 20 animals at a farm. Some are chickens, and some are cows. There are 56 legs total. How many chickens and cows are there?

12 chickens and 8 cows

400

Two notebooks and three pens cost $11. One notebook and two pens cost $7. Find the price of each item.

notebook = $1, pen = $3

500

A concert sold 150 tickets. Student tickets cost $8 and adult tickets cost $12. Total sales were $1560. How many of each ticket were sold?

60 student tickets and 90 adult tickets