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

b= 16-6a  this will be your substitution. 

5a- 2(16-6a)=19 now multiply out.

5a-32+12a=19 always remember positive and a negative multiplied is a negative.

17a=51

a= 51/17 = 3 

now substitute a 

6(3) +b = 16 

b= -2

JD
Answered by Jade D. Maths tutor

3094 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

there are 11 sweets in a box four are soft centred and seven hard centred sweets two sweets are selected at random a)calculate the probability that both sweets are hard centred, b) one sweet is soft centred and one sweet is hard centred


Rearrange the following to make 'W' the subject: aw + 3 = 4(bw + 5)


The recommended price of a ladder is £75. The ladder is sold in 2 shops, one with a 30% discount the other with a discount of 2/9. How much is the discount in the two shops and which is cheaper and by how much? Non-calculator


Mark buys a computer. A VAT of 10% is added to the price of the computer. He pays £246. What was the original price of the computer before VAT was added?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning