To solve for \( y \) in the equation \( 3x + 4y = 7 \), we can isolate \( y \):
-
Start with the original equation: \[ 3x + 4y = 7 \]
-
Subtract \( 3x \) from both sides: \[ 4y = 7 - 3x \]
-
Now, divide everything by \( 4 \) to solve for \( y \): \[ y = \frac{7 - 3x}{4} \]
-
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.
1 answer