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

Answered by Anika K. Maths tutor

3913 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A line has equation y=3x+4, state the gradient and the y-intercept


Draw a graph and clearly label any x and y intercepts for the equation y=x^2+6x+9


The equation of line L1 is y = 3x-2 and the equation of line L2 is 3y-9x+5 = 0. Show that these two lines are parallel.


How do surds relate to powers and roots?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences