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Svetradugi [14.3K]
4 years ago
12

6x + 5y = 7 and 2x + 3y = 3

Mathematics
1 answer:
ra1l [238]4 years ago
4 0
6x + 5y = 7
-6x - 9y = -9

-4y = -2

y = 1/2 or 0.5

2x + 3(1/2) = 3
2x + 1.5 = 3
2x = 1.5

x = 0.75
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The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

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1)

Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4}  \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4

Since the product of their slope is -1, they are perpendicular

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Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2}  \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}

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Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8}  \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}

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Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4}  \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}

Since the slopes are the same, they are parallel

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Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9}  \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9

Since the product of their slope is -1, they are perpendicular

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