Solve the simultaneous equations, 3x + 2y = 4 (1) 4x + 5y = 17 (2)

Solving simultaneous equations by elimination; firstly you would multiply the first equation by 4 to get another equation which we will name (3), and multiply the second equation by 3 to get another equation which we will name (4). This makes the coefficient of the x values the same, 12. Using this you can eliminate the x variable and find that the y value is 5 (can be shown using the whiteboard) Since we know what the y value is equivalent to, we can sub it into any equation and find the x value also. An additional step could be to check whether the solution is valid by inserting the solutions into another equation and seeing if it holds (can also be done on the whiteboard). Therefore, the final answer should be x = -2, y = 5

AP
Answered by Akash P. Maths tutor

4674 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 3(x+4) = 18


Simplify 2a^3 b × 5a^2 b^3


A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.


Peter is 180cm tall, correct to 2 significant figures. Alice is 150cm tall, correct to 2 significant figures. What is the upper and lower bound of the difference in their heights?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning