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

5147 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Which of these shapes has the most sides? Hexagon, Octagon, Rhombus, Trapezium


A line passes through coordinates (-2,4) and (8,9). Does the point with coordinates (32,55) fall on this line?


simplify 7(3y-5) - 2(10 + 4y)


How do you solve the following simultaneous equations? 4x-3y=18, 7x+5y=52


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