Solve 5x−3−−−−−√5=2 and choose the correct value.(1 point)

Question

Responses

x=35
x equals Start Fraction 3 over 5 End Fraction

x=−295
x equals negative Start Fraction 29 over 5 End Fraction

x=7
x equals 7

x=45
x equals Start Fraction 4 over 5 End Fraction
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Answer 1

To solve the equation \( \sqrt{5x - 3} = 2 \), we will first square both sides to eliminate the square root:

\[ (\sqrt{5x - 3})^2 = 2^2 \]

This simplifies to:

\[ 5x - 3 = 4 \]

Next, we add 3 to both sides:

\[ 5x = 4 + 3 \]

This simplifies to:

\[ 5x = 7 \]

Next, we divide both sides by 5:

\[ x = \frac{7}{5} \]

Now, let's look at the provided responses:

1. \( x = 35 \)
2. \( x = \frac{3}{5} \)
3. \( x = -295 \)
4. \( x = 7 \)
5. \( x = \frac{4}{5} \)

None of the options match \( x = \frac{7}{5} \).

It appears that there might be a misunderstanding or an error in the choices provided, as the correct solution to \( \sqrt{5x - 3} = 2 \) is \( x = \frac{7}{5} \), which is not listed among the options.