Simultaneous equations - Find the values of y and x: 3

3x + 5y = 19 and4x - 2y = -18Find the common multiple for 3x and 4x to enable it to be cancelled out. In this case it would be 124(3x + 5y) = 4(19) 3(4x - 2y) = 3(-18) 12x + 20y = 76 12x - 6y = -54 12x + 20y = 76- 12x - 6y = -54 12x - 12x = 0; 20y - (-6y) = 26y; 76 - (-54) = 130Therefore, 26y = 130y = 130/26y = 5Therefore,3x + 5y = 193x + 5(5) = 193x +25 = 193x = 19 - 253x = -6x = -6/3x = -2Therefore, y = 5 and x = -2

ZU
Answered by Zyen U. Maths tutor

3125 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Estimate the answer to: (4.28 x sqrt(99))/7.83


How do I tackle fractional powers?


Solve the equation 3x^2+2x-3=3.


For any given journey, ABC Taxis charge customers a base fare of £5 plus 80p per mile. XYZ Taxis charge a base fare of £3 plus £1.20 per mile. Find the number of miles, x, that must be traveled in order for ABC taxis to be the cheaper journey option.


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:

© 2025 by IXL Learning