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vovangra [49]
3 years ago
10

-2x-2y=-8 -4x-8y=-20

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

-2x-2y=-8

-4x-8y=-20

From the 1st eqn

Dividing through by 2

you have

-x-y=-4

Multiply through by -(minus)

x+y=4

x=4-y

Substitute into eqn 2

-4x-8y=-20

-4(4-y)-8y=-20

-16 + 4y - 8y = -20

-4y = -20 +16

-4y = -4

y= 1

Substitute into any of the other eqn's to get x

x= 4-y

x= 4-1

x=3

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Answer:

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Step-by-step explanation:

Step1:-

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The slope of a line given two points m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

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<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

<u>Step 2</u>:-

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m_{1} = m_{2}

Therefore the slope of the line that is parallel to the another line

m_{1} =m_{2} =4

<u>Step 3</u>:-

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m_{2} = \frac{-1}{m_{1} } \\

m_{2} =\frac{-1}{4}

Therefore the slope of the line is perpendicular to the another line is

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