Question - Solving Linear Equations
Solution:
To solve the equation $$ y + 6 = 2(x + 9) $$, we can follow these steps:1. Distribute the 2 over the terms inside the parentheses:$$ y + 6 = 2 \cdot x + 2 \cdot 9 $$2. Simplify the equation by performing the multiplication:$$ y + 6 = 2x + 18 $$3. To isolate $$y$$, we need to move all terms involving $$y$$ to one side of the equation and all terms involving $$x$$ to the other side. Since we want to get $$y$$ alone, let's subtract 6 from both sides to move all constants to the opposite side of $$y$$:$$ y + 6 - 6 = 2x + 18 - 6 $$$$ y = 2x + 12 $$The equation $$ y = 2x + 12 $$ is now solved for $$y$$ in terms of $$x$$.
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