How do I solve the simultaneous equations 3x+2y=17, 4x-y=30?

Lets number the equations: 1) 3x + 2y = 17 2) 4x - y = 30If we double equation 2) we will get matching y coefficients so:8x - 2y = 60 if we rearrange this to be 8x-60 = 2y Then if we put these together: 3x + 8x -60 = 17 11x = 77x=7 Substitute in x=7(3x7) +2y = 1721 + 2y = 172y = -4y = -2Therefore x=7 and y=-2

Answered by Vicki L. Maths tutor

2806 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If a rectangle has area 48cm2 and sides length 6cm and (3x+2)cm, what is the value of x?


A 20-foot ladder is leaning against a vertical wall. The bottom of the ladder is pulled away horizontally from the wall at 3 feet per second. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 10 feet away?


An object's displacement, s metres, from a fixed point after t seconds is s=5t^3+t^2. Find expressions for the object's velocity and acceleration at time t seconds.


The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.


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