Solve the simultaneous equations 2x + y = 7 and 3x - y = 8.

While there are several ways to solve this, in this particular case I would favour the method of elimination. Since the value of y is the same and they have opposite signs, we can add the equations together to eliminate the y value. This reads as 5x = 15 (add the x parts togther etc), as y + -y = 0. The divide by 5 to obtain x so we find x = 3. To find y, substitute the x value found into one of the equations and solve. 2(3) + y = 7. Thus y = 1. 

Answered by Hannah B. Maths tutor

4348 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I work out probability when a random choice is repeated?


Express the equation x^2+6x-12 in the form (x+p)^2+q


Solve the following equation: 4x + 7 = 2x - 5


Find the coordinates of the mid-point AB where A (-3,-3) and B (1,3)


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