Question

1. -3x = 27

série 2

1. \\(\frac{2x}{3}\\) = 6

Explanation:

Let's solve the equations one by one.

Equation 4: \(-3x = 27\)

Step 1: Isolate \(x\)

To solve for \(x\), we divide both sides of the equation by \(-3\).
\(x=\frac{27}{-3}\)

Step 2: Simplify the fraction

Simplify \(\frac{27}{-3}\) to get the value of \(x\).
\(x = - 9\)

Equation 1 (Série 2): \(\frac{2x}{3}=6\)

Step 1: Eliminate the denominator

Multiply both sides of the equation by \(3\) to get rid of the denominator.
\(2x=6\times3\)

Step 2: Simplify the right - hand side

Calculate \(6\times3 = 18\), so the equation becomes \(2x = 18\).

Step 3: Isolate \(x\)

Divide both sides of the equation by \(2\).
\(x=\frac{18}{2}\)

Step 4: Simplify the fraction

Simplify \(\frac{18}{2}\) to get the value of \(x\).
\(x = 9\)

For Equation 4 (\(-3x = 27\)):

Answer:

\(x=-9\)

For Equation 1 (Série 2, \(\frac{2x}{3}=6\)):