Solve the simultaneous equations; 2x + y = 18; x + 3y = 19.

Start by selecting a variable to eliminate from the equations. --> Select x in this case.Take the second equation and multiply by 2. --> 2x + 6y = 38Subtract the first equation from this answer. --> 5y = 20Divide through by 5. --> y = 4Substitute this back into the second equation to solve for x. --> x = 7Substitute both x = 7 and y = 4 into the first equation as a check. --> 2(7) + 4 = 18 --> 14 + 4 = 18. Correct

Answered by Mark A. Maths tutor

3329 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equation by elimination: 3x + y = 11 and 5x + y = 4


Expand the brackets (x+1)(x-4)


The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.


Solve the simultaneous equations: [4x-y=3] and [6x +2y=1]


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