solve y=3x+4, x=y+1

Equation 1) y=3x+4Equation 2) y=x+1
Rearrange equation 2 into terms of x as this is the simplest: x= y-1 (We do this by subtracting 1 off of each side to get X by itself)Substitute new equation 2 into 1: y=3(y-1)+4Expand the bracket by separately multiplying the factors inside the bracket by the value in front: y=3y-3+4Collect like terms: -1=2y (we do this by collecting the y's on the side where they will be positive and the single numbers on the other side and add together)Now we can solve y=-1/2 (we do this by dividing each side by 2 to get y on its own)Now we can substitute this value back into equation 2 to get: -1/2=x+1Subtract 1 off of each side to get -3/2 = x

CS
Answered by Caitlin S. Maths tutor

3293 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The circle c has equation x^2+ y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.


Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?


Solve 7x+6>1+2x


Solve 8x + 9y = 3 and x + y = 0.


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