Solve the simultaneous equation: 3x+y=24, x-7-y=-3

Simultaneous equations can be solved either using substitution or elimination.
For this example we will use substitution to work out the answer, which will involve rearranging one of the equations (in this case the second equation is it is simpler) into a way that it can be inserted (or substituted) into the first equation.
Rearrange x-7-y=-3 into x-4=ySubstitute x-4=y into the first equation to make 3x+ (x-4) = 24Simplify this new equation into 4x -4 = 24 which simplifies into 4x=28 which means that x = 7
Substitute x=7 into the either of the equation (preferably the simpler equation) and simplify to find y(7) - 7 - y= -3 -y = -3y = 3
Answer y=3, x=7

NG
Answered by Nicholas G. Maths tutor

4822 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I factorise quadratic equations into brackets?


Let f(x) = x^2 - 1. A vertical translation of 3 and a horizontal translation of -2 is applied. Write the new function g(x) in the form g(x) = ax^2 + bx + c


How to solve the simultaneous equations 3x+2y=7 and 5x+y=14


How do you find the points of intersection of two curves?


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