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In Mathematics / Middle School | 2014-11-20

How many solutions does the equation have?

\[ 6 - a = \frac{1}{3} (9a - 18) \]

A. One solution
B. Infinite solutions
C. No solution

Asked by Melony

Answer (2)

so first we distribute 1/3(9a-18) a three can be factored out of (9a-18)=3(3a-6) so 1/3 times 3(3a-6)=3a-6 so the equation end up as 6-a=3a-6 add 6 to both sides 12-a=3a add a to both sides 12=4a divide both sides by 4 3=a so there is one solution or A

Answered by apologiabiology | 2024-06-10

The equation 6 − a = 3 1 ​ ( 9 a − 18 ) has one solution, specifically a = 3 . Therefore, the answer is A. One solution.
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Answered by apologiabiology | 2024-12-26