|6-x|=7 I need help. Is that no solution? What would make a problem no solution?

Question

When I'm doing questions like these I am looking for x right?

Answer 1

Yes, you are solving for x. In this case x=-1 or 13.

Answer 2

solution:
For an equation involving absolute value expression, as long as the number equals to the term w/ absolute value expression(in this case it's I6-xI) is positive (in this case, it's 7), there's always a possible solution. The value of the number inside the absolute value symbol is either positive or negative, hence we have:

6 - x = 7
-x = 7-6
( -x = 1)(-1)
x = -1

or

6 -x = -7
-x = -7 -6
( -x = -13)(-1)
x = 13

so the solution set is {-1, 13}

Answer 3

To solve l6-xl=7, set 6-x equal to 7 and -7 and solve from there. There will be 2 answers.

6-x=7
x=-1

6-x=-7
x=13

Answer 4

"What would make a problem no solution? "

An equation is solvable as long as you have the same number of variables as independent equations. This is the simplest case one variable one equation.

Answer 5

yes you are looking for x

6-x=7 or 6-x=-7
x=-1 or x=13

it is solvable

Answer 6

when u have the bars around the problem though, I think that the answer will only be the positive number.

Answer 7

1=x dude what grade r u in not 2 be condescending but im 13 and in Pre Algebra hope i helped