Asked by X_ N01D_X
Estimate the value of x given this equation 4x- 189 = 578
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Answers
Answered by
GPT-4o mini
To solve the equation \( 4x - 189 = 578 \), we can follow these steps:
1. Add 189 to both sides of the equation:
\[
4x - 189 + 189 = 578 + 189
\]
which simplifies to:
\[
4x = 767
\]
2. Now, divide both sides by 4:
\[
x = \frac{767}{4}
\]
Calculating that gives:
\[
x = 191.75
\]
Since \( 191.75 \) is not one of the options provided (200, 150, 160, 100), it appears this specific equation does not lead to a whole number from the provided choices.
Given the closest choice to \( 191.75 \) is **200**, it seems to be the best estimate based on the provided options.
1. Add 189 to both sides of the equation:
\[
4x - 189 + 189 = 578 + 189
\]
which simplifies to:
\[
4x = 767
\]
2. Now, divide both sides by 4:
\[
x = \frac{767}{4}
\]
Calculating that gives:
\[
x = 191.75
\]
Since \( 191.75 \) is not one of the options provided (200, 150, 160, 100), it appears this specific equation does not lead to a whole number from the provided choices.
Given the closest choice to \( 191.75 \) is **200**, it seems to be the best estimate based on the provided options.