Solve the simultaneous equations: 5x + y = 21 and x - 3y = 9

x = 4.5y = -1.5To answer this question, first, rearrange the first equation to make y the subject: 5x + y = 21 --> y = 21 - 5xYou can now substitute this value of y into the second equation: x - 3(21 - 5x) = 9Now expand out the brackets: x - 63 + 15x = 9 --> 16x - 63 = 9rearrange to make x the subject: 16x = 72 --> x = 72/16 = 4.5now we can calculate y but substituting the value for x into the first equation: 5(4.5) + y = 21--> 22.5 + y = 21rearrange for y: y = 21-22.5 = -1.5

SA
Answered by Sophie A. Maths tutor

3205 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand (2x-3)(4x+4) using the FOIL method.


Find x in the following linear equation (5x-3)/4=2


A right-angled triangle has an angle of 30 degrees and its hypotenuse has a length of 9cm. Find the length of either of the triangle's other two sides.


Why do you need simultaneous equations?


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