Finding the Value of x When y is Given
The equation given in the image is \( y = \frac{1}{5}x - 5 \). We are asked to find the value of \(x\) when \(y\) is \(-14\).
To solve for \(x\), substitute \(-14\) for \(y\) in the equation:
\( -14 = \frac{1}{5}x - 5 \)
Now, solve for \(x\) by isolating it on one side of the equation. First, add 5 to both sides:
\( -14 + 5 = \frac{1}{5}x - 5 + 5 \)
\( -9 = \frac{1}{5}x \)
Now, to get \(x\) by itself, multiply both sides of the equation by 5:
\( 5(-9) = \left(\frac{1}{5}x\right) \times 5 \)
\( -45 = x \)
Therefore, when \(y\) is \(-14\), the value of \(x\) is \(-45\).
