Solve the simultaneous equations: 3x − y = 23 2x + 3y = 8

Write the 2 equations above each other: 3x-y=23 2x+3y=8First we want to remove the y terms to be able to find out x, so multiply the top equation by 3 9x-3y=69 2x+3y=8Now that we have -3y on the top and -3y on the bottom, we can add the 2 equations giving 11x=77 dividing both sides by 11 gives us x=7We can substitute this x back into the very first equation now to give us y ---> 3(7)-y=23Add y to both sides --> 21=23+ySubtract 23 from both sides --? -2=yNow substitute x and y into the second equation to check

JB
Answered by Jessica B. Maths tutor

6233 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If x:y=7:4 and x + y = 88, work out the value of x – y.


Show that the lines A: y= 2x-5. and the line B: 2y-4x+3=0 are parallel.


When do we add and when do we multiply probabilities?


If side A is 3m and side B is 4m, what would be the length of the remaining side C?


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