Question

A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Which equation helps determine the distance x on each side of the mirror?.

Answer 1

Linear equation is the equation in which the highest power of the unknown variable is always 1.The equation which helps determine the distance x on each side of the mirror is ,

$x+3+x=18$.

Given information-

The length of the mirror is 36 inches.

The length of the wall is 18 feet.

The linear equation has to find out for the distance x.

Linear equation-

Linear equation is the equation in which the highest power of the unknown variable is always 1.

As one feet is equal to the 12 inches. Thus the length $l$ of the mirror in the feet is,

$l=\dfrac{36}{12}$

$l=3$

The mirror is 3 feet wide.

The distance on each side of the mirror is x. This distance is equal at both side as the mirror is centered. The distance on each side of the mirror is,

$=x+x$.

Now the the wall is 18 feet wide which is equal to the distance each side of the mirror and the distance of the mirror. As the mirror is 3 feet wide. Thus the equation which determine the distance x on each side of the mirror can be given as,

$x+3+x=18$

Hence the equation which helps determine the distance x on each side of the mirror is ,

$x+3+x=18$.

Learn more about the linear equation here;

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