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

4910 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out the value of 81^(-1/4) (Non-Calculator)


Find the opposite length of the triangle with hypotenuse length 5 and adjacent length 4.


Find the roots of the following function: f(x)= 3*(x-1)^2 - 6.


Sasha has a bag containing 12 red beads, and 8 blue beads. She draws one bead from the bag at random. What is the probability that it is blue?


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:

© 2026 by IXL Learning