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

3162 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the roots of the equation y = 2x^2 + 5x + 2.


Write down the value of (125)^2/3


Simplify and solve the following equation: x^2 -8x +15=0


Use the quadratic formula to find the solutions to x^2+2x-35=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:

© 2025 by IXL Learning