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- Simultaneous Equations

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Lesson: 13:31
- Lesson: 24:59

More linear equations word problems! This lesson we are going to focus on solving questions related to distance and time.

Basic Concepts: Applications of linear equations, Solving systems of linear equations by graphing, Solving systems of linear equations by elimination, Solving systems of linear equations by substitution

Related Concepts: System of linear equations, System of linear-quadratic equations, Graphing systems of linear inequalities

- 1.A plane took 4 hours to fly 2400 km with a tailwind. On the trip back flying into the same headwind the trip took 6 hours. Find the speed of the wind.
- 2.Two planes have a cruising speed of 570 km/h without wind. The first plane flies for 12 hours against a constant headwind. The second plane flies for 10 hours in the opposite direction with the same wind (a tailwind). The second plane flies 370 km less than the first plane. Determine two equations that could be used to solve for the wind speed, w, and the distance travelled by the first plane, d.

9.

Simultaneous Equations

9.1

Determining number of solutions to linear equations

9.2

Solving simultaneous linear equations by graphing

9.3

Solving simultaneous linear equations by elimination

9.4

Solving simultaneous linear equations by substitution

9.5

Money related questions in linear equations

9.6

Unknown number related questions in linear equations

9.7

Distance and time related questions in linear equations

9.8

Rectangular shape related questions in linear equations

9.9

Simultaneous linear-quadratic equations

9.10

Simultaneous quadratic-quadratic equations

9.11

Solving 3 variable simultaneous equations by substitution

9.12

Solving 3 variable simultaneous equations by elimination

9.13

Solving 3 variable simultaneous equations with no or infinite solutions

9.14

Word problems relating 3 variable simultaneous equations

We have over 1640 practice questions in AU Maths Extension 1 for you to master.

Get Started Now9.1

Determining number of solutions to linear equations

9.3

Solving simultaneous linear equations by elimination

9.4

Solving simultaneous linear equations by substitution

9.5

Money related questions in linear equations

9.6

Unknown number related questions in linear equations

9.7

Distance and time related questions in linear equations

9.8

Rectangular shape related questions in linear equations

9.9

Simultaneous linear-quadratic equations

9.10

Simultaneous quadratic-quadratic equations