If 4x + 3y = 4 and x + 2y = 2 what are the values of x and y ?

First you need to make either the x value or the y value equal by multiplying each equation by a number.

2( 4x + 3y = 4 ) and 3( x + 2y = 2 ) which equals:

Equation 1: ( 8x + 6y = 8 ) and Equation 2: ( 3x + 6y = 6 )

Next you need to get the x value on its own, this is done by subtracting Equation 2 from Equation 1 to cancel out the y values.

( 8x + 6y = 8 ) – ( 3x + 6y = 6) = ( 5x = 2 )

To get the value of x divide both sides of the equation by 5:

X = 2/5

Sub the value of x back into one of the original equations to get the value of y.

2/5 + 2y = 2

2y = 8/5

Y = 4/5 and x = 2/5

Answered by Max T. Maths tutor

5465 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Looking at the diagram, work out the angle of a) x, b) y, and c) z


Solve the simultaneous equations: 3x + y = 19 and x - 2y = -3


How do I solve simultaneous equations?


There are 2 banks, Bank A and Bank B. Bank A provides compound interest of 1.3%. Bank B provides interest of 3.5% for the first year and then 0.7% for each extra year. James wants to invest £250. Which bank provides the most interest after 4 years?


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