Solving simultaneous questions, e.g. 3x + y = 11 and 2x + y = 8
The unknowns in a simultaneous equation need to be solved, which in this case are x and y.The method I will be using is by elimination:First, find which unknown has the same coefficient. In this example this is the letter y that has a coefficient of 1 in both equations.Then, subtract the two equations from each other to eliminate y so you get:3x + y = 11-2x + y = 8-------------x = 3Now, you know what x is so you can substitute x back into any of the equations to rearrange and find yIn this case subbing into 3x + y = 113x + y = 113(3) + y = 119 + y = 11y = 2We have now found x = 3 and y = 2To check the answers are right, substitute this back into the second equation just for confirmation and this should work!
SS
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.
Solve the simultaneous equations: 6a + b = 16 and 5a - 2b = 19
There are n sweets in a bag. 6 of them are orange, the rest are yellow. Hannah takes a random sweet, she eats the sweet and repeats again. The probability that hannah eats two orange sweets is 1/3. Show that n2 - n - 90 = 0.
( 9x3) + (18 /3)