solve the simultaneous equations 8x + 2y = 48 , 14x + 6y = 94

Step 1) Rearrange the first equation to make y the subject: 8x + 2y = 48 , 2y = 48 - 8x , y = 24 - 4x. step 2) Sub y = 23 - 4x into the second equation: 14x + 6(24 -4x) = 94 , 14x + 144 - 24x = 94 Step 3) solve for x: 14x + 144 - 94 = 24x , 50 = 24x - 14x , 50 = 10x , x = 5. Step 4) sub x=5 into either equation: 8(5) + 2y = 48 , 40 + 2y = 48 , 2y = 8y = 4 Step 5) check answers by subbing in both x and y values into the other equation: 14(5) + 6(4). = 94 , 70 + 24 = 94

HS
Answered by Harrison S. Maths tutor

2604 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify fully (3x^2 -8x- 3)/(2x^2-6x)


Prove that the square of an odd number is always 1 more than a multiple of 4


How do i solve the simultaneous equations 7x+y=1 and 2x^2-y=3?


Given that 346 × 27 = 9342 , work out 34.6 × 2.7


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