Question

Solve the equation for m.

9 = 2mn + 7mp
In each box type in the correct quantity.
When you solve for m = what is in the numerator?
When you solve for m = what is in the denominator?
Options:
a) m = 9/2n + 7/2p
b) m = 9n + 7p
c) m = 9/n + 7/p
d) m = 9²n + 7²p

Answer 1

a) m = 9/2n + 7/2p. To solve the equation 9 = 2mn + 7mp for m, factor out m to get m(2n + 7p) = 9 and then divide by (2n + 7p) to isolate m. The final expression is m = 9 / (2n + 7p).

Step-by-step explanation:

The question asks to solve the equation 9 = 2mn + 7mp for m. To isolate m, we must factor it out on the right side of the equation.

First, the equation is transformed to m(2n + 7p) = 9.

Next, to solve for m, divide both sides by the expression in parentheses: m = 9 / (2n + 7p). This gives us the value of m in terms of n and p. The numerator is 9 while the denominator is (2n + 7p).

So the correct solution for m is m = 9 / (2n + 7p), which corresponds to option a) m = 9/2n + 7/2p.