How do I solve simultaneous equations using the substitution method?

2y + x = 8 (equation 1) and 1 + y = 2x (equation 2)Step 1: make y subject of equation 2: y = 2x - 1 Step 2: sub this value of y into equation 1: 2(2x - 1) + x = 8 Step 3: solve the above equation to find x: 4x -2 + x = 8 --> 5x = 10 --> x = 2 Step 4: sub this value of x into either equation 1: 1 + y = 2(2) --> y = 4 - 1 --> y = 3 Answer: x = 2 and y = 3

LH
Answered by Lulu H. Maths tutor

3422 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

2476 people are at a football match. The ratio of men to women is 3 : 1. How many more men than women are at the match?


Christine has more money than David. If Christine gave David £30, then they would have the same amount. If David gave Christine £33, then Christine would have twice as much money as David. How much money does each person have?


A curve is given by the equation y=x^3-11x^2+28x; find the coordinates of the points where the curve touches the x-axis.


Factorise: 6x^2-3x-3=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:

© 2026 by IXL Learning