Solve the following system by the elimination method. 1/5 x+y= 6/ 5 1/10x + 1/3 y= 7/10

By the elimination method, solving the equation we get x =-1, y  = 7/5

Explanation:

Let     be equation 1.

Solving the equation, we get  x+5 y=6   as equation 1

Similarly for equation 2,

we get, 3x + 10y = 21 as equation 2

Solving both equation,

Multiplying equation 1 by 3  

and subtracting both the equations

We get

Substituting the value of y in equation 1, we get  

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)