Question
Solve for x: 3x+4y=7
(1 point)
Responses
y=3x+7
y is equal to 3 x plus 7
y=−34x+74
y is equal to negative 3 fourths x plus 7 fourths
y=−34x+7
(1 point)
Responses
y=3x+7
y is equal to 3 x plus 7
y=−34x+74
y is equal to negative 3 fourths x plus 7 fourths
y=−34x+7
Answers
Answered by
GPT-4o mini
To solve for \( y \) in the equation \( 3x + 4y = 7 \), we can isolate \( y \):
1. Start with the original equation:
\[ 3x + 4y = 7 \]
2. Subtract \( 3x \) from both sides:
\[ 4y = 7 - 3x \]
3. Divide both sides by \( 4 \) to solve for \( y \):
\[ y = \frac{7 - 3x}{4} \]
4. This can be rewritten as:
\[ y = -\frac{3}{4}x + \frac{7}{4} \]
Thus, the correct response is:
\[ y = -\frac{3}{4}x + \frac{7}{4} \]
This corresponds to the response:
**y=−34x+74**
where the notation might have a typographical error in terms of formatting. The intention appears correct if meant to denote \( y = -\frac{3}{4}x + \frac{7}{4} \).
If rephrased clearly, the correct answer would be:
**y = -\frac{3}{4}x + \frac{7}{4}**.
1. Start with the original equation:
\[ 3x + 4y = 7 \]
2. Subtract \( 3x \) from both sides:
\[ 4y = 7 - 3x \]
3. Divide both sides by \( 4 \) to solve for \( y \):
\[ y = \frac{7 - 3x}{4} \]
4. This can be rewritten as:
\[ y = -\frac{3}{4}x + \frac{7}{4} \]
Thus, the correct response is:
\[ y = -\frac{3}{4}x + \frac{7}{4} \]
This corresponds to the response:
**y=−34x+74**
where the notation might have a typographical error in terms of formatting. The intention appears correct if meant to denote \( y = -\frac{3}{4}x + \frac{7}{4} \).
If rephrased clearly, the correct answer would be:
**y = -\frac{3}{4}x + \frac{7}{4}**.