The wider trophy width is 8 inches.
It is given that a bookshelf is 14 inches wide there is enough space to fit 2 trophies one trophy is 2 inches wider than the other.
It is required to find how wide is the wider trophy.
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
We have the width of the bookshelf = 14 inches.
If we assume that one trophy's width is x inch and another one's width is y inch then:
x + y = 14 ....(1)
and,
x = y + 2 ...(2) ( because one trophy is 2 inches wider than the other)
Putting the value of x from equation (2) to equation (1), we get:
y + 2 + y = 14
2y = 14 - 2
2y = 12
y = 6 inches
and x = y + 2 ⇒ 6 + 2 ⇒ 8 inches
Thus, the wider trophy width is 8 inches.
Learn more about the linear equation.
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