93.9k views
1 vote
How Many Solutions Does 6 +
(x)/(5) =
(x)/(5) - 5 -
(3x)/(10) Have?

A. One solution
B. Two solutions
C. No solutions
D. Infinitely many solutions

2 Answers

2 votes

Answer:

The answer you are looking for is A

User Jason Yellick
by
3.5k points
3 votes

Answer:

A. One solution

Explanation:

6 + x/5 = x/5 - 5 - 3x/10

Cancel equal terms on both sides.

6=-5-3x/10

Multiply both sides of the equation by 10.

60=-50-3x

Move the variable to the left-hand side and change the sign.

60+3x=-50

Move the constant to the right-hand side and change the sign.

3x=-50-60

Calculate the difference.

3x=-110

Divide both sides by 3.

x=-110/3

=-36 2/3

Meaning one solution.

Hope this helps :)

User Parker Hutchinson
by
4.0k points