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3 years ago

5

Jim and Tony are in opposing teams in a soccer match their running after the same ball Jim's path is the line Y equals 3X Tony's

path is the line Y equals negative 2X +100 find the cornets of the ball

1 answer:

Gekata [30.6K]3 years ago

5 0

$y=3x$

$y=2x+100$

$y=y$

$3x=2x+100$

$x=100$

$y=3(100)$

$y=300$

Answer: $(100,300)$

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$\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}$

$\mathrm{Multiply\;both\;sides\;by\;5}:$ $5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5$

$\mathrm{Now\;we\;have\;}:$ $25+25x=12x-\frac{84}{5}$

$\mathrm{Subtract\;by\;sides\;by\;25}:$ $25+25x-25=12x-\frac{84}{5}-25$

$\mathrm{Thus\;we\;have}:$ $25x=12x-\frac{209}{5}$

$\mathrm{Subtracting\;12x\;from\;both\;sides}:$ $25x-12x=12x-\frac{209}{5}-12x$

$\mathrm{So\;then\;we\;have:}$ $13x=-\frac{209}{5}$

$\mathrm{Now\;divide\;both\;sides\;by\;13}:$ $\frac{13x}{13}=\frac{-\frac{209}{5}}{13}$

$\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}$

$\mathrm{Decimal\;form}:-3.21538461538$

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