-4х+7у=-28
To solve the equation \(-4x + 7y = -28\) for one variable in terms of the other, you can rearrange it. Here’s how you can express \(y\) in terms of \(x\) or vice versa.
- Isolate \(y\):
Starting with the equation: \[ -4x + 7y = -28 \]
Add \(4x\) to both sides: \[ 7y = 4x - 28 \]
Now divide by \(7\): \[ y = \frac{4x - 28}{7} \]
This can be simplified further: \[ y = \frac{4}{7}x - 4 \]
- Isolate \(x\):
Starting again with the original equation: \[ -4x + 7y = -28 \]
Subtract \(7y\) from both sides: \[ -4x = 7y - 28 \]
Now divide by \(-4\): \[ x = -\frac{7}{4}y + 7 \]
So the equations for \(y\) in terms of \(x\) and for \(x\) in terms of \(y\) are:
\[ y = \frac{4}{7}x - 4 \] \[ x = -\frac{7}{4}y + 7 \]
You can choose either of these forms depending on what you need for your calculations or graphing.
