The solution is:
x = 5
y = 8
Step-by-step explanation:
Given equations are:
Putting y = 3x-7 in equation 2
Dividing both sides by 10
Putting x=5 in eqn 1
Hence,
x = 5
y = 8
Keywords: Linear equation, substitution method
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Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
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Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
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Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - )
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9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
