Finding the Value of x when y is Given
To find the value of \( x \) when \( y \) is -49 for the given equation \( y = 7x + 49 \), you will need to substitute -49 for \( y \) in the equation and solve for \( x \).
Starting with the equation:
\[ y = 7x + 49 \]
Now, substitute \( y \) with -49:
\[ -49 = 7x + 49 \]
To solve for \( x \), subtract 49 from both sides of the equation to isolate the term containing \( x \):
\[ -49 - 49 = 7x \]
\[ -98 = 7x \]
Now, divide both sides by 7 to solve for \( x \):
\[ \frac{-98}{7} = x \]
\[ x = -14 \]
Thus, the value of \( x \) when \( y \) is -49 is \( x = -14 \).
