Transum Software

Simultaneous Equations

A self marking exercise requiring you to solve a pair of simultaneous equations.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Description Help More

This is level 1; Equations that can be added or subtracted to eliminate one variable. You can earn a trophy if you get at least 9 correct. Show all of your working in your exercise book.

3x + y = 25
2x + y = 19

x= y= Correct Wrong

x + 3y = 30
x + y = 12

x= y= Correct Wrong

3a + b = 26
3a + 2b = 34

a= b= Correct Wrong

4c + 4d = 48
4c + 5d = 51

c= d= Correct Wrong

-3e + 4f = -10
3e + f = 20

e= f= Correct Wrong

-5g + 5h = -35
5g + 2h = 14

g= h= Correct Wrong

8j − 8k = 16
8j − 4k = -12

j= k= Correct Wrong

-6m + 3n = -12
4m − 3n = 16

m= n= Correct Wrong

9p + 10q = 76
2p − 10q = -32

p= q= Correct Wrong

9r − 10s = -47
-2r + 10s = 26

r= s= Correct Wrong

2u + 12v = 102
3u − 12v = -117

u= v= Correct Wrong

-5w − 9z = 94
2w + 9z = -70

w= z= Correct Wrong


This is Simultaneous Equations level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6


Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Description of Levels



Level 1 - Equations that can be added or subtracted to eliminate one variable.

Level 2 - Equations that can be added or subtracted to eliminate one variable after one of the equations has been multiplied by a constant.

Level 3 - Equations that can be added or subtracted to eliminate one variable after both of the equations have been multiplied by constants.

Level 4 - Equations with two variables that are not written in the standard way.

Level 5 - Real life problems that can be solved by writing them as simultaneous equations.

Level 6 - Mixed


There is a printable worksheet to go with this activity. It is an exercise that appeared in an algebra book published in 1895. It starts with basic questions but soon gets tricky!



Simultaneous Equations Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.