Question

Solve for x: 3x + 4y = 7 A. y = 3x + 7 B. y = -3/4x + 7

Answer 1

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. Now, divide everything by \( 4 \) to solve for \( y \):
\[
y = \frac{7 - 3x}{4}
\]

4. We can rewrite this as:
\[
y = -\frac{3}{4}x + \frac{7}{4}
\]

None of the answer options A or B match this form directly. However, option B \( y = -\frac{3}{4}x + 7 \) has the correct slope but the constant term is incorrect.

The correct solution is:
\[
y = -\frac{3}{4}x + \frac{7}{4}
\]

Thus, if the answer options are strictly limited to A and B, none of them are fully correct, but B is the closer representation with respect to the slope.