a. Demarcus' method is (d + d + 7) = 111/3
b. His brother's method is 3d + 3d + 3 × 7 = 111
c. The banker's method is 3(2d + 7) = 111
<h3>How to complete each person's method</h3>
Each pperson's method is the solution to a linear equation
<h3>
What is a linear equation?</h3>
A linear equation is an equation in which the highest power of the unknown is 1.
<h3>a. How to complete Demarcus' method?</h3>
Since the equation is given by 3(d + d + 7) = 111 and demarcus was solving the equation and his first step was to divide both sides by 3, we have that
3(d + d + 7) = 111
(d + d + 7) = 111/3
d + d + 7 = 37
2d + 7 = 37
2d = 37 - 7
2d = 30
d = 30/2
d = 15
So, Demarcus' method is (d + d + 7) = 111/3
<h3>b. How to complete his brother's method?</h3>
Since the equation is given by 3(d + d + 7) = 111 and his brother started solving the equation by using the distributive property,we have that
3(d + d + 7) = 111
3d + 3d + 3 × 7 = 111
3d + 3d + 21 = 111
6d + 21 = 111
6d = 111 - 21
6d = 90
d = 90/6
d = 15
So, his brother's method is 3d + 3d + 3 × 7 = 111
<h3>c. How to complete the banker's method?</h3>
Since the equation is given by 3(d + d + 7) = 111 and their banker started solving the equation by combining like terms, we have that
3(d + d + 7) = 111
3(2d + 7) = 111
6d + 21 = 111
6d = 111 - 21
6d = 90
d = 90/6
d = 15
So, the banker's method is 3(2d + 7) = 111
Learn more about linear equation here:
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