Question

Solve the equation. Write a justification for each step.
m−17/11=8

Answer 1

To solve the equation m-17/11=8, start by adding 17/11 to both sides of the equation to isolate the variable m. Simplify the equation and combine fractions, then simplify the fraction to find the solution m=9 6/11. Check the answer by substituting it back into the original equation. The solution is confirmed to be correct.

Step-by-step explanation:

1. Start by adding 17/11 to both sides of the equation to isolate the variable m: m−17/11+17/11=8+17/11
2. Simplify the left side of the equation by combining the fractions: m=8+17/11
3. Convert the whole number 8 into a fraction with a common denominator of 11: m=88/11+17/11
4. Combine the fractions on the right side of the equation: m=105/11
5. Simplify the fraction: m=9 6/11
6. The solution to the equation is m=9 6/11
7. Check the answer by substituting m=9 6/11 back into the original equation: 9 6/11−17/11=8
8. Simplify the left side of the equation: 105/11−17/11=8
9. Combine the fractions: 88/11=8
10. Simplify the fraction: 8=8
11. The left side of the equation is equal to the right side, which confirms that the solution is correct.