Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. how should this be interpreted? . a.. the system of equations has infinitely many solutions.. b.. the system of equations has no solution.. c.. the system of equations is unsolvable.. d.. the system of equations has been solved incorrectly..

Option (B) is correct.

The system of equations has no solution.

Step-by-step explanation:

Consider a system of linear equation in two variables,

 (1)

and   (2)

Multiply equation (1) by 2, we get,

 (1) ⇒    (3)

Now, subtract (2) from (3), we get

Here, both variables x and y got cancel out and we are left with 0 = 7 which is not true. thus, the system has no solution.

Also, when we plot these system we get parallel lines which has no solution.( refer attachment)

Thus, when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement ,then the given system of equations has no solution.

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step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d