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3 years ago

What is the solution of the equation? -6 = 2/3x a. = -9 b. = -6 c. = 4 d. = -4

Mathematics

1 answer:

erastovalidia [21]3 years ago

8 0

-6 = 2/3 x
x = -6*3 /2
x = -18/2
x = -9

Answer is Option A

Hope this helps!

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2 years ago

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Hello and Good Morning/Afternoon

Let's take this problem step by step.

$5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6$

What did we do in this problem

we ensured that both sides remained equally balanced in value
took everything step-by-step to make sure that there were no mistakes
to check it, we can plug it back into the original equation to see if it works

$5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\$

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