Question

graph the system below and write its solution.

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$$\begin{cases} -2x + y = -4 \\\\ y = \\frac{1}{2}x + 2 \\end{cases}$$

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note that you can also answer
o solution\ or \infinitely many\ solutions.

Explanation:

Convert the first equation to slope-intercept form

Using the Slope-Intercept Form and Graphing Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Identify key graphing points for both lines

Using the Graphing Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Solve the system of equations algebraically

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK2
$$

The intersection point is \((4, 4)\).

Answer:

Solution: \((4, 4)\)