Define x and y if 3x+y=11 and 5x-2y=11

This is a simultaneous equations question. In this situation the equations can be multiplied to create a common coefficient: 3x+y=11 therefore 6x+2y=22You can then add the equations together: 6x+2y=22 plus 5x-2y=11 therefore 11x=33 and x=3Subbing x=3 into one of the initial equations allows you to solve for y:3x+y=11 therefore 3(3)+y=11 therefore 9+y=11 therefore y=2Check these answers by substituting x and y into the other equation: 5(3)-2(2)=15-4=11Therefore x=3 and y=2

JM

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: 2x+y=18 and x-y=6


How do I calculate a percentage increase? For example; there are 15 fish in a fish tank, after a year they have bred and now there are 20 fish in the tank. By what % has the number of fish increased?


Solve 2x^2+ 7x -8 = 0, giving your answer to 2 decimal places.


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