Solve this simultaneous equation: 2 + 5y = 3x, x + y = 6

step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitute x = 6 - y into equation 1.how? where x is in the equation put in (6 - y)2 + 5y = 3 (6 - y)step 3 - expand the equationhow? multiply the left side of the equation by 3.2 + 5y = 18 - 3ystep 4 - rearrange equation to make y the subjecthow? + 3y on both sides, -2 on both sides8y = 16step 5 - what is y?how? divide both sides by 8y = 2step 6 - substitute the y-value into one of the equations to find xx = 6 - yx = 6 - 2x = 4step 7 - check your answers with the original equations2 + (5 x 2) = 3 x 4 2 + 4 = 6NB: other methods for solving the equation - multiplying one of the equations

PW
Answered by Phoebe W. Maths tutor

3094 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically the simultaneous equations (x^2) + (y^2) =25 and y - 3x = 13 (5 Marks).


solve this equation: 4(x-5)=x+7


Jack has 20 sweets. Will also has 20 sweets. Jack gives Will x sweets. Jack then eats 5 of his sweets. Will then eats half of his sweets. Write expressions for the number of sweets Jack and Will now have.


Finding Roots of Quadratic Equations


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