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

4728 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A boat travels due North at 5km/h for 3 hours, then changes course and sails due east for 2 hours, adjusting his speed to 8km/h. What is his total displacement from his original position?


Solve these simultaneous equations 2y+x=8, 1+y=2x.


Given a material with dimensions 1.5 x 1.1 x 1.6 mm ^3 and a mass of 0.5kg. What is the density of this material? Give your answer in kg/m^3


Why do you times the reciprocal of the second fraction by the first when dividing fractions.


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