Question

graph the system below and write its solution.

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

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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 Systems of Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Analyze the second equation

Using the Slope-Intercept Form knowledge point

$$ y = \frac{1}{2}x - 2 $$

Compare the two linear equations

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Determine the solution to the system

Using the Systems of Linear Equations knowledge point
Since parallel lines never intersect, the system has no common points.

$$ \text{Solution: No solution} $$

Answer:

Graph the system below and write its solution.

$$
LATEXBLOCK0
$$

Solution: <blank>No solution</blank>