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2 years ago

13

The sum of two numbers is 87. if three times the smaller number is subtracted from the larger number the result is seven. find t

he two numbers

1 answer:

Stolb23 [73]2 years ago

5 0

$\left \{ {{a+b=87} \atop {a-3b=7}} \right.

$

a-3b=7
a=7+3b

a+b=87
(7+3b)+b=87
7+4b=87
4b=87-7
4b=80
b=20

a=7+3b
a=7+3*20
a=7+60
a=67

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A pencil is `120` millimeters long.

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2 years ago

Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are

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2 years ago

A student solves the following equation and

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Since the equation is undefined for -2

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Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

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$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

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as

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

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so equation becomes

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$\mathrm{Verify\:Solutions}$

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2 years ago