Solve algebraically for a and b: 6a+b=16, 5a-2b=19

Multiply equation 1) by 2 : 12a+2b=32. There are alternate signs of b and so therefore add the equations together: 17a=51. Solve for a: a=3. Sub a into one of the equations to find b: 5*3-2b=19b=-2. The final answer is therefore: a=3 and b=-2

Answered by Sorcha S. Maths tutor

2369 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Azmol, Ryan and Kim each played a game. Azmol’s score was four times Ryan’s score. Kim’s score was half of Azmol’s score. Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.


When will I use this in my everyday life?


3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.


Work out the value of (√3 )² x (√2 )²


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