Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8

Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into equation 2: 6(2)-y=8 12-y=8 y=12-8 y=4 and check at the end to make sure!

AW
Answered by Alex W. Maths tutor

3846 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A curve has the equation y=x^2+4x+4 and a line has the equation y=2x+3. Show the line and curve have only one point of intersection and find its coordinate..


A cone has radius 6cm and height 5cm. Work out its volume in terms of pi. (Formula for the volume of a cone is V=(1/3)pi(r)^2h)


Solve the simultaneous equations. 5x+y=21, x-3y=9.


Find the median, upper and lower quartiles of these numbers: 160, 390, 169, 175, 125, 420, 171, 250, 210, 258, 186, 243


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