Answer :
Answer:
Step-by-step explanation:
Let's solve this system of equations to find the value of \(M\):
1. We have the equation for \(x\):
\[ x = 2m + 1 \]
2. We also have the equation for \(y\):
\[ y = m + 7 \]
3. The sum of \(x\) and \(y\) is equal to 11:
\[ x + y = 11 \]
Now let's substitute the expressions for \(x\) and \(y\) into the third equation:
\[ (2m + 1) + (m + 7) = 11 \]
Combine like terms:
\[ 3m + 8 = 11 \]
Subtract 8 from both sides:
\[ 3m = 3 \]
Divide both sides by 3:
\[ m = 1 \]
Therefore, the value of \(M\) is 1. ⁴.