Question

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

y=−34x+74
y is equal to negative 3 fourths x plus 7 fourths

y=3x+7
y is equal to 3 x plus 7

y=−34x+7
y is equal to negative 3 fourths x plus 7

Answer 1

To solve for \( y \) in the equation \( 3x + 4y = 7 \), follow these steps:

1. Subtract \( 3x \) from both sides:
\[
4y = 7 - 3x
\]

2. Divide both sides by \( 4 \) to isolate \( y \):
\[
y = \frac{7 - 3x}{4}
\]

3. Break it down:
\[
y = \frac{7}{4} - \frac{3}{4}x
\]
This can be rewritten as:
\[
y = -\frac{3}{4}x + \frac{7}{4}
\]

So the correct answer is:
**y is equal to negative 3 fourths x plus 7 fourths.**