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

3480 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the inequality 5x^2 + x - 3 = 1


GCSE: How do you find the bearing of point B from A?


The sides of a rectangle are x and (x+2), where x>0 the area of the rectangle is 8, what is the value of x?


Solve the simultaneous equations; 3x+2y=11 and 2x-2y=14


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