Question

Solve for x: 3x+4y=7 (1 point) Responses y=−34x+7 y is equal to negative 3 fourths x plus 7 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

Answer 1

To solve for \( y \) in the equation \( 3x + 4y = 7 \), we can isolate \( y \).

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

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

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

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

So, the correct answer is:
\[
y = -\frac{3}{4}x + \frac{7}{4}
\]

Thus, the match from the responses provided is:
**y is equal to negative 3 fourths x plus 7 fourths.**