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

MA
Answered by Mark A. Maths tutor

3950 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Differentiate sin(x)cos(x)


Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.


How do you find the length of the longest side of a right-angled triangle?


Solve the following system of equations simultaneously to find the values of x, y and z. 2x+3y+4z=3, -x-y+z=1, 2x+y-z=0


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