Solve this simultaneous equations, clearly showing all of your workings: x^2 + 2y =9, y - x = 3

Equation 1: x2 + 2y = 9Equation 2: y - x = 3
Rearrange equation 2: y = 3 + x
Substitute y = 3 + x into equation 1x2 + 2(3 + x) = 9x2 + 6 + 2x = 9x2 + 2x - 3 = 0(x + 3)(x - 1) = 0so x = 1 and -3
substitute x = 1 into rearranged equation 2y = 3 + 1y = 4
substitute x = -3 into rearranged equation 2y = 3 - 3y = 0
So when x = -3, y= 0and when x = 1, y = 4

EJ
Answered by Ella-May J. Maths tutor

2665 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the equation of the line that passes through ( 5 , -4 ) and (3,8).


How many roots does the following equation have? 2x^2 + 4x +2 = 0


Find the highest common factor (HCF) of 12 and 18.


The formula for finding the circumference of a circle is Equation: C = 2(pi)r . What can we do if we know the circumference but want to know the radius?


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