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How do you solve an equation with a fraction and coefficient that are next to eachother such as the one in the picture?

How Do You Solve An Equation With A Fraction And Coefficient That Are Next To Eachother Such As The One In The Picture class=

Sagot :

Answer:

See below

Step-by-step explanation:

Hi there!

We want to solve for c (find the value of c) in 15=[tex]\frac{3}{8}c-18[/tex]

To do that, isolate 1c (also written as c) on one side.

We can add 18 to both sides to remove it from the right side

15=[tex]\frac{3}{8}c[/tex]-18

+18    +18

_______________

33=[tex]\frac{3}{8}c[/tex]

You want to know how to solve an equation where the coefficient of a term is a fraction

Remember that we want to find the value of 1c.

Multiplying a fraction by its reciprocal (the 'flipped' version of that fraction) will give 1.

For example, multiplying [tex]\frac{2}{5}[/tex] by [tex]\frac{5}{2}[/tex] (the reciprocal of [tex]\frac{2}{5}[/tex]) will give:

[tex]\frac{2}{5} * \frac{5}{2}=\frac{10}{10}=1[/tex]

So therefore, we should multiply both sides by the reciprocal of [tex]\frac{3}{8}[/tex], which would be [tex]\frac{8}{3}[/tex]

Therefore,

[tex]\frac{8}{3} * 33=\frac{3}{8}c * \frac{8}{3}[/tex]

Multiply

[tex]\frac{264}{3}[/tex]=[tex]\frac{24}{24}c[/tex]

Simplify the fractions

88=c

Hope this helps!