$$ y=x-2 $$ $$ y=3 x+4 $$ Is $$ (4,2) $$ a solution of the system? Choose 1 answer: (A) Yes (B) No

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To determine whether the point $$(4, 2)$$ is a solution to the system of equations:

$$
\begin{cases}
y = x - 2 \
y = 3x + 4
\end{cases}
$$

we need to check if the coordinates $$(4, 2)$$ satisfy **both** equations.

1. **First Equation: $$y = x - 2$$**
   $$
   y = 4 - 2 = 2
   $$
   The point $$(4, 2)$$ satisfies the first equation.

2. **Second Equation: $$y = 3x + 4$$**
   $$
   y = 3(4) + 4 = 12 + 4 = 16
   $$
   Here, $$y = 16$$, which does **not** equal the given $$y$$ value of $$2$$.

Since the point $$(4, 2)$$ does **not** satisfy the second equation, it is **not** a solution to the system.

**Answer:**  
**(B) No**
$$(4, 2)$$ is not a solution to the system. **Answer:** **(B) No**

Is a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

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Is a solution of the system? Choose 1 answer: (A) Yes (B) No