y=-x+12 Y=-2x+12 State the number of solutions. Explain your reasoning

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Answer to a math question y=-x+12 Y=-2x+12 State the number of solutions. Explain your reasoning

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Eliseo

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105 Answers

1. Identify the equations:

y = -x + 12

and

y = -2x + 12

.
2. Determine the slope of each line:
- First line has slope

m_1 = -1

.
- Second line has slope

m_2 = -2

.
3. Compare slopes:
-

m_1 \neq m_2

indicating the lines are not parallel.
4. Intersecting lines have one point of intersection.

Therefore, the number of solutions is 1.

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