Solve the simultaneous equations. 2x + y = 18, x − y = 6

1.Isolate either x or y. in this example you can do this by moving adding y to both sides of the second equation x-y=6 becomes x=6+y
2.substitute this into the other equation 2(6+y) + y = 18
3.simplify this (with the aim of finding Y)first expand the brackets12+2y+y=18rearrange by adding 2y and y and subtracting 12 from each side of the equation3y=6find y by dividing both sides by 3Y = 2
4. substitute this into the worked equation (x=6+y) to find XX=6+2X=8

Answered by Sarah R. Maths tutor

4328 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you simplify a surd?


In a sale, normal prices are reduced by 18%. The sale price of an umbrella is £25.83. Work out the normal price of the umbrella.


Write 16 × 8^(2x) as a power of 2 in terms of x


Solve the simultaneous equations x^2+ y^2 = 29 and y–x = 3


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences