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

3823 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify the following expression: x(5x – 2) – 3(x2 – 2x + 7)


Expand (2x-3)(4x+4) using the FOIL method.


A cuboid has sides such that the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². Calculate the length of the shortest side.


An item costs £65 but requires an additional 20% VAT to be added. How much change will you get from £100


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