Question

Help me to solve this linear equation!!



4/5 - 3/10m= 1/10m- 4/5

Answer 1

To solve the given linear equation, rearrange the terms to isolate variables and constants on each side. After simplifying, the equation becomes an identity, where all values of m are solutions because it reduces to 0 = 0, which is always true.

Step-by-step explanation:

To solve the linear equation 4/5 - 3/10m = 1/10m - 4/5, start by rearranging the terms to bring like terms to the same side:

1. Add 3/10m to both sides of the equation. This eliminates the -3/10m on the left side.
2. Add 4/5 to both sides of the equation. This eliminates the -4/5 on both sides.
3. Combine like terms, which in this case will cancel out the constants and leave you with the equation 0m = 0.
4. Since 0 = 0 is a true statement and m has been eliminated, this means that there are infinitely many solutions; m can be any number.

Note that this is a case of an identity, where the equation is true for all values of m. Therefore, it's not possible to solve for a specific value of m.