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

BK
Answered by Bethany K. Maths tutor

4825 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

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?


In a box, there is 1 more green pens than black pens. The probability of taking 2 black pens is 0.2 . How many pens are in the box?


1 a. If x=6a+3 and a is 4 what is x? b. Make a the subject of the formula.


Solve 5x^2 = 10x + 4 Give your answers to 2 decimal places. [4 marks]


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences