Question

1) Ache a raiz de cada uma das equações abaixo: a) 16 + 8m = 81 + 3m b) 12x = 5x + 49 c) 20 – 8z = -19 – 21z d) 4x + 76 – 2x = 136 e) 18x - 43 = 65 f) 23x - 16 = 14 - 17x

Answer 1

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$a)\\16+8m=81+3m\\\Downarrow \ \/ \ \/ \downarrow \ \ \Downarrow \ \ \downarrow \ \ \Downarrow \ \ \downarrow \ \ \Downarrow\\8m-3x=81-16\\\Downarrow \ \ \ \Downarrow \ \ \Downarrow \ \ \Downarrow \ \Downarrow \ \ \Downarrow \ \ \Downarrow\\5m=65\\\Downarrow \ \ \ \downarrow \ \ \Downarrow \\\\m=\frac{65}{5} = 13\\\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\\m=13$

${\huge{\boxed{\boxed m=13 }}}$

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$b)\\12x=5x+49 \\ \/ \ \Downarrow \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \Downarrow \\12x-5x= 49 \\7x=49\\x=\frac{49}{7} = 7 \\x=7$

${\huge{\boxed{\boxed x=7 }}}$

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$c)\\20-8z=-19-21z\\\/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \Downarrow \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \Downarrow \\-8z+21z=-19-20\\13z=39\\z=\frac{39}{13} = 3\\x=3$

${\huge{\boxed{\boxed x=3 }}}$

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$d)\\x+76-2x=136\\\Downarrow \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \ \/ \Downarrow\\-x=136-76\\-x=60\\x=-60$

${\huge{\boxed{\boxed x=-60 }}}$

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$e)\\18x-43=65\\\Downarrow\\18x=65+43\\\Downarrow\\18x=108\\\Downarrow\Downarrow\\x=\frac{108}{18} = 6 \\\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\\x=6$

${\huge{\boxed{\boxed x=6 }}}$

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$f)\\23x-16=14-17x\\\Downarrow\Downarrow \ \/ \ \/ \ \/ \ \/ \ \/ \downarrow \ \/ \ \/ \ \Downarrow \ \/ \ \downarrow \ \/ \ \/ \ \/ \ \/ \Downarrow\Downarrow\\23x-17x=14+16\\\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow \ \/ \ \/ \ \downarrow \ \/ \ \/ \Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\\6x=30\\x=\frac{30}{6} = 5 \\\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\Downarrow\\x=5$

${\huge{\boxed{\boxed x=5 }}}$

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