4x+9y=59.5 and x+y=8. Find the values of x and y.

Firstly, take the second equation and make either x or y the subject, which means to make it either x equals or y equals. To make x the subject, we take y away from both sides giving x=8-y. Then, substitute this into the first equation.

Substitution would give 4(8-y)+9y=59.5 Multiplying out gives 32-4y+9y=59.5 Then take away 32 from each side and bring together the y values to get 5y=27.5 We then divide by 5 to get y=5.5

Now we know the value of y, we can use either equation to work out x. x+5.5=8, therefore x=2.5

Answered by Bethany K. Maths tutor

4691 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations. 2x + y = 10 and 3x + 4y = 25.


Solve the equation (2x+3)/(x-4)-(2x-8)/(2x+1)=1 and give the answer to 2 decimal places


Prove algebraically that (4n + 1)² − (2n − 1) is an even number for all positive integer values of n.


Solve: 2((x)^2) + 7x + 3, for x


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