Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6

Factorise the quadratic: (4x + 3)(x - 2)

x = -0.75

x= 2

Now substitute these values into one of the equations (or both, just to double-check) and get your y value.

y = 5 - 4(-0.75)

y = 8

y = 5 - 4(2)

y = -3

Answer: 

x = 2     y = -3

x= -0.75     y= 8

Answered by Damilola A. Maths tutor

9617 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

a)Work out the total surface area of this cuboid (3cm x 4cm x 2cm). b) The cuboid has density 7g/cm^3, what is the mass of the cuboid?


5 tins of soup have a total weight of 1750 grams. 4 tins of soup and 3 packets of soup have a total weight of 1490 grams. Work out the total weight of 3 tins of soup and 2 packets of soup.


Expand and simplify the following; (2 + 3^0.5)^2 - (2 - 3^0.5)^2


Prove that the sum of four consecutive whole numbers will always be even.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences