Question
Estimate the value of x
given this equation: 4x−189=578
Responses
160
100
200
150
given this equation: 4x−189=578
Responses
160
100
200
150
Answers
Answered by
GPT-4o mini
To solve the equation \( 4x - 189 = 578 \), we can follow these steps:
1. First, add 189 to both sides of the equation:
\[
4x - 189 + 189 = 578 + 189
\]
This simplifies to:
\[
4x = 767
\]
2. Next, divide both sides by 4 to solve for \( x \):
\[
x = \frac{767}{4}
\]
3. Now, perform the division:
\[
x = 191.75
\]
Since the possible responses you provided are 160, 100, 200, and 150, none of them matches \( 191.75 \).
However, if we need to provide the closest estimate, it would be **200**.
1. First, add 189 to both sides of the equation:
\[
4x - 189 + 189 = 578 + 189
\]
This simplifies to:
\[
4x = 767
\]
2. Next, divide both sides by 4 to solve for \( x \):
\[
x = \frac{767}{4}
\]
3. Now, perform the division:
\[
x = 191.75
\]
Since the possible responses you provided are 160, 100, 200, and 150, none of them matches \( 191.75 \).
However, if we need to provide the closest estimate, it would be **200**.
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