Solving Simultaneous Equations using the Calculator

Solving Simultaneous Equations using the Calculator

Solving Simultaneous Equations using the Calculator

Name: ................................................................... Example Solve 2 + 3 = 13 5 + 2 = 16 Step 1: In Calculator View, hit Menu, Algebra, Solve System of Linear Equations... Step 2 Accept the default settings and hit OK.

Step 3 Enter the equations into the template.

Step 4 Hit the Enter button The result is given as = 2 and = 3

Page 1 of 2

Solving Simultaneous Equations using the Calculator

Exercise

Use the calculator to solve the following systems of simultaneous equations.

1.

3 + 2 = 36

+ 2 = 20

2.

2 - 5 = -16

3 - 2 = -13

3.

21 - 6 = 7

-3 + 3 = 6.5

4.

5 - 6 = 8.5

- 3 = 2

Applications In the following questions form two simultaneous equations using the information given and use your calculator to solve the equations.

1. The greater of two numbers exceeds the smaller by 18. Twice the smaller number added to the greater number makes 42. Find the numbers.

2. The combined ages of a man and his son total 78 years. Eleven years ago, the father was three times as old as his son then was. Find their present ages.

3. The cost of 1 kg of tea and 3kg of coffee is $10.50 and 6kg of tea cost the same as 7kg of coffee. Find the cost of each per kg.

Solutions: 1. = 8, = 6

3.

=

1.3333

or

1

1 3

,

=

3.5

Applications: 1. 26 and 8

2. 53 and 25

2. = -3, = 2

4. = 1.5,

=

-0.167

or

-

1 6

3. tea: $2.94, coffee: $2.52

Page 2 of 2

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download