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ankoles [38]
3 years ago
14

X subtract 9 equals 3 / 5X

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0

Answer:

x=22\frac{1}{2}=22.5

Step-by-step explanation:

x-9=\frac{3}{5}x

  • First, lets get rid of the fraction. I did this by multiplying both sides by 5.

5(x-9)=5(\frac{3}{5}x)\\5x-45=\frac{5}{1} *\frac{3}{5}x\\5x-45=\frac{15}{5}x\\5x-45=3x

  • We want to isolate x on one side of this equation. Let's put any values with x on one side of the equation, and normal integers on the other.

2x=45

  • Divide both sides by 2.

x=\frac{45}{2}

  • If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

x=22\frac{1}{2}=22.5

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\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
4x^2-9=0\implies 2^2x^2-3^2=0\implies (2x)^2-3^2=0
\\\\\\\
[(2x)-3][(2x)+3]=0\implies 
\begin{cases}
2x-3=0\\
2x=3\\
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------\\
2x+3=0\\
2x=-3\\
x=-\frac{3}{2}
\end{cases}
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