Question - Finding the Value of x when y is Given
Solution:
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 $$ x = -14 $$.
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