What is the definition of solution of a system of linear equation?
In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example, 3x+2y-z=1 2x-2y+4z=-2 -x+½y-z=0 is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of numbers to the variables such that all the equations are simultaneously satisfied. A solution to the system above is given by x=1 y=-2 z=-2 since it makes all three equations valid. And solution means is to find the value of a given variable as you saw in above example, usually x,y,z & t are used as a variable. I hope it helps to you. I am also a student like you, you must try to understand things around you. Study to gain knowledge not for time pass.