# Hi im un sure of how to enter this sum

hi i was wondering how to enter this sum in to sage , when a quantity of liquid is heated in a insulated container, its final temperature (T=degrees) is given by T=T0+kt where T0 is the original temp , t (min) is the duration of heating and k is a constant. For a particular mass of a particular liquid, it is found that after heating for 2 mins its temp is 35degrees and after heating for a total time of 7mins its temp is 50degrees the question i need to solve is - form a pair of simultaneous equations and solve them to find the original temperature of the liquid and the value of the constant k

This looks like homework, which is not related to a sum, but to solving a linear system. This forum is about questions related with Sage. If you want us to help, you should find the linear system by yourself, try to slove it without and with Sage, and ask us if you are locked somewhere. We may help you in understanding how matrices work in Sage though.

Hi yes I've solved it manually but unsure on the commands etc i found k=7 t0=21, (t,T)=(2,35),(7,50)

This is wrong, 21+7*7 is equal to 70, not 50. You should look at the ``solve`` command in Sage.