How do i solve two linear simultaneous equations 2x+y=7 & 3x-y=8 ?

To start with, try and spot whether or not two of the coeffecients (numbers next to the letters) are the same for either question (i.e. could be a 3x in one equation and a 3x in the other). This also works if the number is the same but the sign is different (i.e. 2x and -2x). As one equation contains a y, and the other contains a -y, you need to add the two equations together to eliminate the y, leaving 5x=15.

Dividing through by 5 leaves x=3, and if you substitute this back into either of the original equations you get that y=1.

TB

Related Maths A Level answers

All answers ▸

Differentiate y=x^3


Differentiate: y = 2 ^ x


Suppose a population of size x experiences growth at a rate of dx/dt = kx where t is time measured in minutes and k is a constant. At t=0, x=xo. If the population doubles in 5 minutes, how much longer does it take for the population to reach triple of Xo.


Integrate (x^3 - x^2 - 5x + 7) with respect to x.