Solve the simultaneous equations 7x - 2y = 22 and 5x + 3y = 29

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do this would be to find the LCM of the 2 coefficients of x, which is 35.

So:

  1. 7x-2y = 22    (Multiply equation by 5)

  2. 5x+3y = 29     (Multiply equation by 7)

This gives us:

  1. 35x-10y = 110

4.35x + 21y = 203

Solving equations 3 and 4 using the elimination method gives us y=3.  Substituting this value for y into equation 2 gives us x=4. 

RB
Answered by Raina B. Maths tutor

5126 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Fahima buys 2 packets of bread rolls costing £1.50 for each packet 1 bottle of ketchup costing £1.60 3 packets of sausages Fahima pays with a £10 note. She gets 30p change. Fahima works out that one packet of sausages costs £2.30 Is Fahima right?


Find the centre and radius of the circle with equation: x^2 + y^2 -4x +8y = 5, and determine whether the point (7,-4) lies on the circle.


Factorise fully 27x^2 - 3


Divide £700 in the ratio 5:3:2


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