Question

What is the value of m in the equation {2}" alt="\frac{1}{2}" align="absmiddle" class="latex-formula">m - $\frac{3}{4}$n= 16, when n=8

Answer 1

Answer:

The value of m is 44

Step-by-step explanation:

We have given:

1/2 m - 3/4 n = 16

Put the value of n in the given equation

1/2m - 3/4(8)=16

Now 4 and 8 will be canceled out by the table of 4

1/2 m - 3(2)=16

1/2m - 6 = 16

Now take the L.C.M of the denominator and solve for numerator:

m-2(6)/2 = 16

m-12/2 = 16

m-12 = 16*2

m-12 = 32

Add 12 at both sides:

m-12+12 = 32+12

m= 32+12

m=44

The value of m is 44....

Answer 2

Answer: $m=44$

Step-by-step explanation:

You have the following equation:

$\frac{1}{2}m - \frac{3}{4}n= 16$

In order to know the value of "m" when the value of "n" is 8 ($n=8$), you have to substitute this value into the equation and solve for "m".

Therefore, you get:

$\frac{1}{2}m - \frac{3}{4}n= 16\\\\\frac{1}{2}m - \frac{3}{4}(8)= 16\\\\\frac{1}{2}m - \frac{24}{4}= 16\\\\\frac{1}{2}m - 6= 16\\\\\frac{1}{2}m = 16+6\\\\\frac{1}{2}m =22\\\\m=(2)(22)\\\\m=44$