Answer :
To solve the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], we need to isolate [tex]\(x\)[/tex]. Here’s how we can do it step-by-step:
1. Identify the Operation: The equation involves division, [tex]\(\frac{x}{19.3}\)[/tex]. To isolate [tex]\(x\)[/tex], we need to perform the inverse operation, which is multiplication.
2. Multiply Both Sides by 19.3: To remove the denominator, multiply both sides of the equation by 19.3:
[tex]\[
19.3 \times \frac{x}{19.3} = 19.3 \times 38.6
\][/tex]
3. Simplify: On the left side, multiplying by 19.3 cancels out the denominator:
[tex]\[
x = 19.3 \times 38.6
\][/tex]
4. Calculate the Result: Perform the multiplication:
[tex]\[
x = 744.98
\][/tex]
Therefore, the solution to the equation is [tex]\(x = 744.98\)[/tex]. By multiplying both sides by 19.3, we correctly isolate and solve for [tex]\(x\)[/tex].
1. Identify the Operation: The equation involves division, [tex]\(\frac{x}{19.3}\)[/tex]. To isolate [tex]\(x\)[/tex], we need to perform the inverse operation, which is multiplication.
2. Multiply Both Sides by 19.3: To remove the denominator, multiply both sides of the equation by 19.3:
[tex]\[
19.3 \times \frac{x}{19.3} = 19.3 \times 38.6
\][/tex]
3. Simplify: On the left side, multiplying by 19.3 cancels out the denominator:
[tex]\[
x = 19.3 \times 38.6
\][/tex]
4. Calculate the Result: Perform the multiplication:
[tex]\[
x = 744.98
\][/tex]
Therefore, the solution to the equation is [tex]\(x = 744.98\)[/tex]. By multiplying both sides by 19.3, we correctly isolate and solve for [tex]\(x\)[/tex].
