Help me solve the Inequality Word Problem and solve ?
1 answer:
Let x represent the number
.. 1 +3x . . . . . . one more than three times a number
.. x -5 . . . . . . . the number decreased by 5
.. 1 +3x < x -5 . . . . the relation specified by the problem statement
.. 2x < -6 . . . . . . . subtract x+1
.. x < -3 . . . . . . . . . divide by the coefficient of x. (Positive, so < stays the same.)
.. 1 +3x . . . . . . one more than three times a number
.. x -5 . . . . . . . the number decreased by 5
.. 1 +3x < x -5 . . . . the relation specified by the problem statement
.. 2x < -6 . . . . . . . subtract x+1
.. x < -3 . . . . . . . . . divide by the coefficient of x. (Positive, so < stays the same.)
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Answer:
Step-by-step explanation:
3x+y=-4 (1)
3x-4y=6 (2)
<em><u>solving by elimination:</u></em>
(1) - (2) ⇒
3x + y = -4
3x - 4y = 6
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0 + 5y = -10
5y = -10 ⇔ y = -2
(2) ⇒ 3x-4y=6 ⇒ 3x-4(-2)=6 ⇒ 3x = 6 - 8 = -2 ⇒ x = -2/3
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