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butalik [34]
3 years ago
9

Solve the equation and explain​

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0
Start by simplifying the equation by cross multiplying

9(z+1) = 3z

then distribute 9 into the brackets

9z + 9= 3z

then move the constant to the right hand side and change its sign

9z = 3z -9

then move the variable to the left hand side and change its sign

9z - 3z = -9

collect like terms

6z = - 9

then divide both equations by 6 to get z by itself

z = -9/6

simplify the fraction

z = -3/2
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Nady [450]

1. -18 +15x = 3(4x-6) + 3x

-18 + 15x = 12x - 18 + 3x

-18 + 3x = -18 + 3x

3x = 3x

x = All Real Numbers (because we don't know what x is since the equation is 3x = 3x, we can assume that it is all "real" numbers)

2. -10 + 5x = 5(x - 3) + 5

-10 + 5x = 5x - 15 + 5

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Helga [31]

Answer:

'

Step-by-step explanation:

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Paladinen [302]

Answer:

194

Step-by-step explanation:

Recall 2 rules to solve this easily:

1. (a+b)^2=a^2+2ab+b^2

2. (a-b)^2=a^2-2ab+b^2

<em>Now, if we let a = 7  and  b=4\sqrt{3}, we can say the problem is basically of the form:</em>

(a+b)^2 + (a-b)^2

This can be simplified using the rules:

(a+b)^2 + (a-b)^2\\a^2+2ab+b^2+a^2-2ab+b^2\\2a^2+2b^2

Now we can plug the values of a and b we initially thought of (remember though  \sqrt{x} \sqrt{x} =x):

2a^2+2b^2\\2(7)^2+2(4\sqrt{3})^2\\ 2(49)+2(4\sqrt{3})(4\sqrt{3})\\98+2(4)(4)(\sqrt{3} )(\sqrt{3} )\\98+2(4)(4)(3)\\98+96 \\194

194 is the final answer.

7 0
3 years ago
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