Question

The following system of equation is
x+8y+3z=7
2x+16y+6z=3

A-no solution
B-infinity number of solutions
C-unique solution
D-Two solutions​

Answer 1

Answer:

B -infinity number of solutions

Answer 2

Answer

The system has no solution, hence option A is the correct option.

Explanation

• For the system of linear equation if there are 3 variable and 3 equation then it is said that the system has unique solution.
• That is, the system had unique value of x, y and z.
• But if the number of equations are less than the number of variable then the system will have no solution at all.
• This is because if number of equations are less than the number of variable then the one variable can’t be eliminated and hence can’t be solved.
• It take equal to more than the number of variable to have at least one solution.

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