3x+2y=12 ; 5x+3y=19

3x+2y=12 (1) /// 5x+3y=19 (2) /// . (1) x 3---(2) x -2 /// 9x+6y=36///-10x-6y=-38///x+0=-2/// x=2///y=5(2)+3y=19///y=9/3 = 3-///////--> x=2y=3first, we need to make one of the two terms (x or y) of the same value. to do this one or both equations must be multiplied by a number but bear in mind, the entire equation has to be multiplied to keep the right hand side equal to the left hand side. in this, if we multiply the 1st eq/ by 3 and the 2nd by -2, we get 6y and -6y. when these 2 are added they eliminate each other and in the equation we are only left with x to deal with. now we add all the other terms as well. 9x+(-10x) and 36+(-38), the answers for this are -x and -2 respectively. this shows that x=2. we now plug in this value of x in either one of our equations to get to y, which happens to be 3.

MR
Answered by Muzaina R. Maths tutor

3835 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the quadratic function x^2 + 3x + 2


How many past papers should i do before the exam?


Find the point(s) of intersection of the graphs y=x^2+4x-21 and x+y=-27 using an algebraic method.


Given the function f(x) = 2x^(2) + 3, find the value of x when f(x) = 53.


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