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

3519 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the cosine rule and when can it be used?


Solve the simultaneous equations: 3y + 2x = 10, 4x - y + 3 = 2


The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a


Use the equation 2(x+4) + 6(x-1) = 14, to find x.


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