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lyudmila [28]
3 years ago
5

Simplify each equation. Tell whether the equation has one, no, or infinite solutions. 3x-7=3(x-3)+2

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer: Infinite solutions

Step-by-step explanation: 3x -7 = 3(x-3)+2

                                             3x + -7 = (3)(x) + (3)(-3) + 2

                                             3x + -7 = 3x + -9 + 2

                                             3x - 7 = (3x) + (-7)

                                             3x -7 - 3x = 3x - 7 - 3x

                                             -7 + 7 = -7 + 7

                                             0 = 0

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Solving Rational equations. LCD method. Show work. Image attached.
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Answer:

b=1

Step-by-step explanation:

The given rational equation is

\frac{2b-5}{b-2} -2=\frac{3}{b+2}

The Least Common Denominator is (b+2)(b-2).

Multiply each term in the equation by the LCD.

(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}

Simplify;

(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}

(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)

Expand and group similar terms

2b^2-5b+4b-10 -2(b^2-4)=3b-6

2b^2-5b+4b-10 -2b^2+8=3b-6

-b-2=3b-6

3b+b=-2+6

4b=4

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3 0
3 years ago
The lines shown below are parallel. If the green line has a slope of 5, what isthe slope of the red line?.O A.OB. 55O C.C. -//OD
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11 months ago
Help with this question anyone?
Art [367]
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6 0
3 years ago
Brian and Zack went to the store and bought packs of gum. Brian bought 3 less packs than twice the number zack bought. Together
balu736 [363]

Answer:

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  • Brian: 19

Step-by-step explanation:

Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...

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Using the first equation to substitute into the second, we have ...

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_____

<em>Check</em>

  b + z = 19 + 11 = 30 . . . . answer checks OK

Zack bought 11 packs; Brian bought 19 packs of gum.

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Answer:

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Step-by-step explanation:

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