Solve algabraically: 6a+b=16 and 5a-2b=19

To answer this we want to split up the 'a' parts and 'b' parts of the question and answer them seperately because we can't answer the question with two letters. We can change one equation to b=16-6a and now substitute this equation for b into the other equation: 5a - 2(16-6a)=19. Now multiply out the bracket: 5a - 32 +12a=19. Now we can solve this equation for a: 17a=51 which means that a=3. Now we know what a is we can put this into the equation that tells us b: b=16-6(3)--> b=-2. And now we have our two answers a=3 and b=-2. You can check this is right by putting both number back into the original equations and checking that the equations work.

AS
Answered by Anna S. Maths tutor

4929 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How can I prepare for my Maths GCSE exams?


Expand (2x + 5)(9x - 2).


There are 300 students at a school who have been asked to attend assembly. 1/10 students are sat on chairs, 85% of students are sat on the floor, the rest do not attend assembly. How many students did not attend assembly?


You and your brother have your pocket money split in the ratio 2:7. If your brother receives £42, how much do you receive?


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