1 answer

How do you solve #\frac { 3} { 5} a - 6= 12#?

Question:

How do you solve #\frac { 3} { 5} a - 6= 12#?

Answers

See full solution process below:

Explanation:

First step is to add #color(red)(6)# to each side of the equation to isolate the #a# term and keep the equation balanced:

#3/5a - 6 + color(red)(6) = 12 + color(red)(6)#

#3/5a - 0 = 18#

#3/5a = 18#

Now, we can multiply each side of the equation by #color(red)(5)/color(blue)(3)# to solve for #a# while keeping the equation balanced:

#color(red)(5)/color(blue)(3) xx 3/5a = color(red)(5)/color(blue)(3) xx 18#

#cancel(color(red)(5))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(5)))a = 90/3#

#a = 30#

.

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