Solve simultaneously 2x-y=2, 3x+2y=17 to calculate values of x and y.

This problem can be solved through substitution. The first equation provided in the question should be rearranged to give y=2x-2. This equation for y can be directly substituted into the second equation. This would give, 3x+2(2x-2)=17 therefore eliminating the y term. By expanding this equation, we get 3x+4x-4=17 which simplifies further down to 7x=21. This gives a value of x=3. In order to calculate y, we can sub this value of x into any of the equations provided in the question. For example, substituting into the first equation gives 6-y=2. As a result, rearranging this gives a value of y=4.

Answered by Wasif R. Maths tutor

4995 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

solve the following simultaneous equations 4x + 6y = 16 and x + 2y = 5


3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.


Expand the brackets and simplify: 7(2x+3y)-x(14-y)


How do I know which rule of trigonometry to apply in a question?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences