Question

select the correct answer.
solve for m.
7m = 3 + 4m
a. m = -7
b. m = 1
c. m = -\frac{5}{4}
d. m = \frac{3}{11}

Explanation:

Step1: Subtract \(4m\) from both sides

To isolate the variable \(m\), we subtract \(4m\) from both sides of the equation \(7m = 3 + 4m\). This gives us \(7m - 4m = 3 + 4m - 4m\). Simplifying both sides, we have \(3m = 3\).

Step2: Divide both sides by 3

Now, we divide both sides of the equation \(3m = 3\) by 3 to solve for \(m\). So, \(\frac{3m}{3}=\frac{3}{3}\), which simplifies to \(m = 1\). Wait, that seems conflicting with the options? Wait, no, wait, let's re - check. Wait, original equation: \(7m=3 + 4m\). Subtract \(4m\) from both sides: \(7m-4m=3+4m - 4m\), so \(3m = 3\), then \(m = 1\). But wait, the option B is \(m = 1\). But let's check again. Wait, maybe I made a mistake? Wait, no, \(7m-4m = 3m\), and \(3m=3\), so \(m = 1\). So the correct answer is B.

Wait, but let's check the options again. The options are A. \(m=-7\), B. \(m = 1\), C. \(m=-\frac{5}{4}\), D. \(m=\frac{3}{11}\). So according to our calculation, \(m = 1\), which is option B.

Answer:

B. \(m = 1\)