Questions: Solve the equation and check: 8x - 4 = 13 x = 3/1 x = 3/1 x = 3/1 x = 3/1 x = 3/1

Solve the equation and check: 8x - 4 = 13 x = 3/1 x = 3/1 x = 3/1 x = 3/1 x = 3/1
Transcript text: Solve the equation and check: 8x - 4 = 13 $x = \frac{3}{1}$ $x = \frac{3}{1}$ $x = \frac{3}{1}$ $x = \frac{3}{1}$ $x = \frac{3}{1}$
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Solution

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Solution Steps

To solve the equation \(8x - 4 = 13\), we need to isolate the variable \(x\). This can be done by first adding 4 to both sides of the equation to eliminate the constant term on the left side. Then, divide both sides by 8 to solve for \(x\).

Step 1: Isolate the Variable

We start with the equation: \[ 8x - 4 = 13 \] To isolate \(x\), we first add 4 to both sides: \[ 8x - 4 + 4 = 13 + 4 \] This simplifies to: \[ 8x = 17 \]

Step 2: Solve for \(x\)

Next, we divide both sides by 8 to solve for \(x\): \[ x = \frac{17}{8} \] Calculating this gives: \[ x = 2.125 \]

Step 3: Check the Solution

To verify our solution, we substitute \(x = 2.125\) back into the original equation: \[ 8(2.125) - 4 = 13 \] Calculating the left side: \[ 17 - 4 = 13 \] Since both sides are equal, our solution is confirmed.

Final Answer

\(\boxed{x = 2.125}\)

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