Question

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$$\begin{cases} y = 3 \\\\ y = 11 - 2x \\end{cases}$$

Explanation:

Step1: Substitute \( y = 3 \) into \( y = 11 - 2x \)

Since both equations are equal to \( y \), we can set them equal to each other. Substituting \( y = 3 \) into the second equation gives us \( 3 = 11 - 2x \).

Step2: Solve for \( x \)

First, we can rearrange the equation \( 3 = 11 - 2x \) to isolate the term with \( x \). Subtract 11 from both sides: \( 3 - 11 = -2x \), which simplifies to \( -8 = -2x \). Then, divide both sides by -2: \( x = \frac{-8}{-2} = 4 \).

Step3: State the solution

We already know \( y = 3 \) and we found \( x = 4 \), so the solution to the system of equations is \( x = 4 \) and \( y = 3 \).

Answer:

The solution to the system is \( x = 4 \), \( y = 3 \)