PRACTICE ON SOLVING SYSTEMS OF LINEAR EQUATIONS

1) The sum of two numbers is 7 and their difference is –17. Find the numbers.

2) Find two numbers whose sum is 50 and whose difference is 28.

3) The difference between two numbers is 9. If the larger one is one more than three

times the smaller, find the numbers.

4) The sum of two numbers is 12. If three times the larger is added to twice the smaller,

the result is 33. Find the numbers.

5) The sum of two numbers is 17. If the larger is two more than twice the smaller, find

the numbers.

6) The sum of two numbers is –17. If one number is one less than three times the other,

find the numbers.

7) The difference between two numbers is 11. If two times the smaller is added to

one-half the larger, the result is 33. Find the numbers.

8) The sum of two numbers is –3. If one number is tripled, the result is 23 more than the

other number. Find the original numbers.

9) The difference between two numbers is 14. If the smaller number is multiplied by 5,

the result is 2 greater than the larger number. Find the numbers.

10) The difference between two numbers is 11. If the sum of twice the smaller number

and half the larger number is 33, find the smaller number.

11) One number is equal to 4 times another number. Their difference is 12. Find the

numbers.

12) The sum of two numbers is 17. If the larger is two more than twice the smaller, find

the larger number.

Answers:

1) 12 and –5

2) 39 and 11

3) 4 and 13

4) 3 and 9

5) 5 and 12

6) –13 and –4

7) 22 and 11

8) 5 and –8

9) 18 and 4

10) 11

11) 16 and 4

12) 12