{ -0.3x + 0.1y = -0.1 6x - 2y = 2Solve each system by the addition method, if possible.

To solve -0.3x+0.1y=-0.1 .........(1)and

6x-2y = 2..............................(2)

Solution:

We know that an equation could be mutplied by a constant. This action does not change the solution of the equation.

So, Eq(1) multiplied by -20 gives : 6x-2y=2 which is the eq(2). So both eq(1) and eq (2) represent the same equation.

So 6x-2y = 2  Or dividing by gives 3x-y = 1. Or

y = 3x-1 are the same equation whose solutions   are the solutions of the given 2 equations.

Since this is one equation wih 2 variables, x and y, the solutions are  many. In fact all the pairs of coordinate points, (x,y) on the graph of the straight line y = 3x-1. Some particular solutions:

x      =      0,      5,        10,       15 and the corresponding y values are: 

y- 3x-1 = -1,     -14,      29,      44