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

3438 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the hypotenuse of the triangle if the other 2 sides are 8cm and 6cm?


Solve the simultaneous equations 2a + b =4 and 5a – 3b = -1


Solve this pair of simultaneous equations: 3x + y= 7 and 3x - y = 5


Sam and Jack share out £80 in the ratio 5:3, in that order. How much do they each get?


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:

© 2026 by IXL Learning