Question - Solving a System of Linear Equations
Solution:
The image shows a system of two linear equations:1) $$ \begin{cases} y = 12 \\y = x + 2 \end{cases} $$To solve this system, you can equalize the two expressions for y, as the left side of the equations are the same:$$ 12 = x + 2 $$Now, subtract 2 from both sides to solve for x:$$ 12 - 2 = x $$$$ x = 10 $$Now that we have the value for x, we can use either of the equations to find the value for y. Since the first equation directly gives us the value of y, we don't need to plug x into it:$$ y = 12 $$So the solution to the system of equations is $$ x = 10 $$ and $$ y = 12 $$.
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