How do I solve the following simultaneous equations? y = 2x -3 and 2x + 3y = 23

Equation 1 : y = 2x -3 Equation 2: 2x +3y = 23To solve these equations you use a method called substitution The information from the 1st equation is used by the 2nd one Sub in the formula for y like so: 2x + 3 (2x -3) = 23Expand the brackets/multiply out2x + 6x - 9 = 23Bring all the algebraic terms on one side 8x = 32Divide by 8 x=4 Then substitute this value into equation 1 to find out what y equals y = 2(4) - 3 = 8-3 = 5y = 5

AK
Answered by Anika K. Maths tutor

5024 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to do simultaneous equations?


Which of the following lines is not perpendicular to y=2x+1? (A) y+1/2x=6 (B) 2y=4-x (C) 2x+y=4 (D) y=-1/2(7+x)


64% of an audience are female. Work out the ratio females : males Give your answer in its simplest form.


What are the possible ways to find the roots from a quadratic equation?


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:

© 2026 by IXL Learning