Question - Solving a Linear Equation
Solution:
To solve the equation $$ y + 6 = 5(x - 7) $$, we shall first expand the right side of the equation by distributing the 5 into the parentheses:\[ y + 6 = 5x - 35 \]Next, to solve for $$ y $$, we want to isolate $$ y $$ on one side of the equation. We can do this by subtracting 6 from both sides of the equation:\[ y = 5x - 35 - 6 \]\[ y = 5x - 41 \]Now the equation is solved for $$ y $$ in terms of $$ x $$. So the final expression is $$ y = 5x - 41 $$.
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