Solve the two equations: Equation 1: 2a - 5b = 11 Equation 2: 3a + 2b = 7

Firstly, you should aim to eliminate one of the unknown values. As b is positive and negative in each equation, this would be a good value to eliminate. Both equations would have to be multiplied to cancel out one of the values. For example, if equation 1 is multiplied by 2 and eqution 2 is multiplied by 5 you get:

Equation 1: 4a-10b= 22         Equation 2: 15a+ 10b= 35

Then add the two new equations together to cancel out b and simplify, which leaves you with:

19a= 57 therefore   a= 3

Then substitute a with 3 in equation 1 or 2 to find out the value of b. For example, if substituted into equation 1 you get:

(2 x 3) -5b=11   therefore  b=-1 

IH
Answered by Ikraan H. Maths tutor

6495 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rearrange to make x the subject of the equation: 4(3x+y) = 12-2y


Work out the value of 2^4


If we take a number and square it, the answer is also the product of the two numbers either side of it plus one. Prove algebraically that this works for all numbers.


How do I find two prime numbers whose sum is 30?


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