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

4216 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the value of X in the equation X^2 + 9X - 22 = 0


Jill takes out a loan of £6000 to get a car. The loan has a compound interest of 3% and she takes it out for 4 years. a) How much interest has Jill accrued after 2 years? b) What is the total amount to be paid after 4 years?


Expand the following quadratic (x+3)(2x-2)


Anna has 6 bananas. Ben has 2.5 times more bananas than Anna. Callum has a third as many bananas as Anna and Ben have together. How many bananas do Anna, Ben and Callum have together?


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