`(3/4)x + y = 1/8, (9/4)x + 3y = 3/8` Solve the system by the method of substitution.

`(3/4)x+y=1/8`

`(9/4)x+3y=3/8`

From the first equation,

`y=1/8-(3/4)x`

Substitute the value of y obtained in the second equation,

`(9/4)x+3(1/8-(3/4)x)=3/8`

`(9x)/4+3/8-(9x)/4=3/8`

(9x)/4-(9x)/4=3/8-3/8

0=0

In this case , the given system of equations has infinitely many solutions.

If the two equations are of the form,

`a_1x+b_1y+c_1=0` ` `  

`a_2x+b_2y+c_2=0`

and if,

`a_1/a_2=b_1/b_2=c_1/c_2` ,

then the the given system of equations has an infinite number of solutions.