There are solutions which are of infinite no. of solution.
How to know the solution of the system of the linear equation of two variables?
In order to know the solution of two-equation in their matrix form, if the determinant of the coefficient matrix is not equal to 0, then the system of equation has unique solution other wise system of equation has no solution or infinite solution.
if ax+by=c and dx+ey=f are two equations, then if a/d=b/e=c/f, then it has infinite solution.
if a/d=b/e≠c/f, then it has no solution.
So according to the question,
the coefficient matrix is [tex]\left[\begin{array}{ccc}3&2\\6&4\end{array}\right][/tex].
the determinant of the coefficient matrix=Δ=(4*3)-(6*2)=12-12=0
as the determinant of the coefficient matrix is 0, then the system of the equation has no solution or infinite solution.
Here the equations are:
3x+2y=6
6x+4y=12
here 3/6=2/4=6/12=0.5
As a/d=b/e=c/f, then it has infinite solution.
Therefore there are solutions which are of infinite no. of solution.
Learn more about system of linear equation
here: https://brainly.com/question/12507396
#SPJ2
