Solve the simultaneous equations: 3x+2y=11, 2x-5y=1.

Step 1) Label Equations 1) 3x+2y=11 2) 2x-5y=1 Step 2) Multiply so that one variable has same coefficient in both equations.1)x5 15x+10y=55 2)x2 4x-10y=2Step 3) Add/Subtract equations to remove one variable. 1+2: 19x=57Step 4) Solve to find x x= 57/19 = 3Step 5) Sub x back into original equation to find y 3(3)+2y=11 2y=11-9 2y=2 y=1 x=3, y=2

HB
Answered by Harry B. Maths tutor

5236 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Write 2x^2 + 16x + 26 in the form a(x + d)^2 + e where a, d, and e are integers.


Find the point of intersection between two lines y=2x+4 and 2y+3x=1:


Work out the gradient of the tangent to the curve (y=x^2-x-2) at the point where x=2


Estimate the answer to: (4.28 x sqrt(99))/7.83


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:

© 2025 by IXL Learning