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RSB [31]
3 years ago
11

Find three consecutive integers whose sum is six times the greater integer

Mathematics
1 answer:
Ksju [112]3 years ago
6 0
-3, -2, -1 equals -6

-1 multiplied by 6 equals -6
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x = 3 + y Eqn(1)

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Let us solve the system of equations with the substitution method

x - 3 = y (Subtracting 3 from both sides of the Eqn(1))

Replacing y = x - 3 in Eqn (2), we have:

x - 3 = -2x + 9

x = -2x + 9 + 3 (Adding 3 to both sides of the equation)

x + 2x = 9 + 3 (Adding 2x to both sides of the equation)

3x = 12 ( Adding like terms)

x = 12/3 (Dividing by 3 on both sides of the equation)

x = 4

Replacing x=4 in Eqn(1), we have:

4 = 3 + y

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The answers are:

x= 4 and y=1

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