Two simultaneous equations are given as 2x + y = 5 and 3x + y = 7. Find the value of x and y.

The unknowns of x and y are the same in each equation, allowing us to combine the two in order to find out their values.The substitution method can be used in most cases if the coefficient is the same with x or y(coefficient = the amount the letter has been multiplied by)The coefficient of y in each equation = 1 so we can use this method2x + 1y = 53x + 1y = 7subtract equation 1 from 2 to find xx = 2then place this value into either equation to find y(2x2) + y = 54 + y = 5y = 1Answer: x = 2y = 1

MH
Answered by Megan H. Maths tutor

3923 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise and solve x^2 + 3x - 4 = 0


Solve the equation 3x^(2)-7x+3 giving your answer to three significant figures.


How would you answer a frequency tree question such as '400 people were asked if they drink orange juice, 8/10 say yes, 25% of these say yes to drinking 3 cups a day. Complete the frequency diagram.'?


Prove that the square of an odd number is always 1 more than a multiple of 4


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:

© 2025 by IXL Learning