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

7309 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simultaneous equation: (x-3y)=9,(2x+3y)=0


Simplify 2a^3 b × 5a^2 b^3


How do you factorise x^2 - 4?


What is the length of the hypotenuse in the right angled triangle to one decimal place? (a=5cm, b=4cm)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences