Question

Solve for x: 3x+4y=7(1 point)
Responses

y=−3/4x+7/4
y is equal to negative 3 fourths x plus 7 fourths

y=−3/4x+7
y is equal to negative 3 fourths x plus 7

y=3x+7

Answer 1

To solve for \( y \) in the equation \( 3x + 4y = 7 \), we can rearrange the equation as follows:

1. Start with the original equation:
\[
3x + 4y = 7
\]

2. Isolate \( 4y \) by subtracting \( 3x \) from both sides:
\[
4y = 7 - 3x
\]

3. Divide every term by 4 to solve for \( y \):
\[
y = \frac{7 - 3x}{4} = \frac{7}{4} - \frac{3}{4}x
\]

Rearranging gives:
\[
y = -\frac{3}{4}x + \frac{7}{4}
\]

Thus, the correct response is:
- \( y = -\frac{3}{4}x + \frac{7}{4} \)
- y is equal to negative 3 fourths x plus 7 fourths.