Question - Finding the Value of x When y is Given
Solution:
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 $$-45$$.
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