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nordsb [41]
4 years ago
12

An equation is shown below:

Mathematics
2 answers:
GREYUIT [131]4 years ago
7 0
Part A:
    firs multiply 9 to 3x and minus 16, after that subtract 15 from -144, then add both side to 129, then subtract 6x from both side,  at the end divide bothe side to 21, the answer is 5. 
  9(3x-16)+15=6x-24
    27x-144+15 = 6x-24
     27x-129 = 6x-24
     27x = 6x -24 +129 
     27x = 6x +105 
     27x - 6x = 105
     21x = 105 
      21x/21 = 105/21
      x = 5
 
Julli [10]4 years ago
3 0

Answer:

Part A: You first multiply 9 to 3x and minus 16. Then add 15 to -144. After that add 129 to both sides and subtract 6x from both sides. Divide both sides by 21 to get x my itself. You get x=5.

9(3x-16)+15=6x-24

27x-144+15 = 6x-24

27x-129 = 6x-24

27x -129+129 = 6x -24 +129

27x = 6x +105

27x - 6x =6x-6x 105

21x = 105

21x/21 = 105/21

x = 5

Part b: the value of x is 5

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ycow [4]

Answer:

D. x = 21

Step-by-step explanation:

x - 4= 17

Step 1: Add 4 to both sides

x - 4= 17

<u>   +4   +4</u>

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4 years ago
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algol [13]

Answer:

The first number is 20, the second one is 11

Step-by-step explanation:

Let the first number be x and the second number be y

Since it says "9 is the difference between two numbers", the first equation will be x-y=9

It also says that "their sum is 31". That means the second equation will be x+y=31

here are the two equations:

x-y=9

x+y=31

You can solve this any way you like, but I'll show elimination

add the two equations

x-y=9

x+y=31

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divide by 2

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Substitute 20 as x in one of the equations

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subtract 20 from both sides

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3 years ago
How do I solve for w?
LenaWriter [7]

Answer:

w = 8

Step-by-step explanation:

Based on the altitude theorem of a right triangle, we have:

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The sum of two numbers is 56. One number is 3 times as large as the other. What are the numbers?
MissTica
42 and 14

explanation:

x+y = 56
x = 3y

Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56
x = 42
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x = 3y
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42 = 3*14
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Alik [6]

Answer:

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Step-by-step explanation:

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\frac{18}{24}

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