Solve the following simultaneous equations: 3x + 2y = 16 2x + 3y = 14

Answer: x = 4, y = 2

Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14

             Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42

            New Eq 2 - New Eq 1) 5y = 10, so y = 2

             Sub y into Eq 1) 3x + 4 = 16, 3x = 12, so x = 4

 

EO
Answered by Elizabeth O. Maths tutor

8224 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the follow simultaneous equation:4x + y= 4 and 2x + y= 8


Rationalise the following: { 5 } / { 3 - sqrt(2) }


If f(x) = x^2, draw the graph of y = f(x) + 3


(3 + root(a))(4 + root(a)) = 17 + k(root(a)) where a and k are positive integers. Find the value of a and the value of k.


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