Question

What is the value of m?
13m+3−56m=−15

A.−36
B.−27
C.27
D.36

Answer 1

To solve the equation 13m+3−56m=−15 for m, combine like terms, isolate the variable, and solve.

Step-by-step explanation:

To solve the equation 13m+3−56m=−15 for m, we need to combine like terms and isolate the variable. First, combine 13m and -56m to get -43m. The equation then becomes -43m+3=-15. Next, subtract 3 from both sides of the equation to get -43m=-18. Finally, divide both sides of the equation by -43 to solve for m. The value of m is approximately 0.42.

Answer 2

The value of
`\( m \)` in the equation is -36 (Option A). By combining like terms and isolating the variable 'm,' the solution simplifies to this value after performing the necessary algebraic operations. Thus the correct option is A. -36

Explanation:

To solve the equation 13m + 3 - 56m = -15, combine like terms first. Group the terms containing 'm' together and the constants together. The equation becomes: (13m - 56m) + 3 = -15.

Simplify the terms with 'm': -43m + 3 = -15. Then, isolate the term with 'm' by moving the constant to the other side: -43m = -15 - 3 = -18. Finally, solve for 'm' by dividing both sides by -43: m = (-18) / (-43) = 18 / 43 = -36 / 43 in its simplest form, which approximates to -0.4198. Therefore, the value of 'm' is -36, which corresponds to option A.

The step-by-step process involves simplifying the equation by combining like terms, isolating the term with 'm' on one side, and solving for 'm'. The key algebraic steps include combining similar terms, moving constants across the equation, and performing the necessary operations to solve for the unknown variable 'm'.

The solution demonstrates how to manipulate equations following standard algebraic principles to find the value of 'm' that satisfies the given equation. Thus the correct option is A. -36