Placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9

x -5 = -2
<h3>Solving Linear Equations </h3>
From the question, we are to place the equations under the correct solution
To do this, we will solve the equations one after the other
x = -42/-14
x = 3
x = -9 + 5
x = -4
∴ x ≠ 3



x = 3


x = 3
x = 3 × 9
x = 27
∴ x ≠ 3
x = -2 + 5
x = 3
Hence, placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9

x -5 = -2
Learn more on Solving linear equations here: brainly.com/question/13204213
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Answer:
5(3) + i = 30
15 + i = 30
Step-by-step explanation:
Answer:
The 15th visitor
Step-by-step explanation:
You have to find the LCM of the two numbers given by multiplying the chances that a visitor gets either a bumper sticker or a key chain.
1/3 x 1/5 = 1/15.
This means that every 15 people that visit the museum get both the bumper sticker and the key chain but since 15 is the lowest positive multiple of itself, the 15th visitor to the museum every day will be the first to get both items.
(x - d) + x + (x + d) = 12 --> Create an equation using the first piece of information - "Three consecutive terms... have a sum of 12"
x - d + x + x + d = 12 --> Simplify the left side of this equation (d cancels out)
3x = 12 --> Divide both sides by 3
<u>x = 4
</u>
Use the value of x (x = 4) to find the value of d. To do this, set up another equation using the second piece of information.
(x - d) * (x + d) * x = - 80 --> "Three consecutive terms... have... a product of -80". Then, substitute the value of x (4) into this equation.
(4 - d) * (4 + d) * 4 = - 80 --> Multiply out the sets of brackets, the * 4 is dealt with afterwards
4(16 - 4d + 4d - d²) = - 80 --> Simplify the expression inside the brackets
4(16 - d²) = - 80 --> Multiply out these brackets by the 4
64 - 4d² = - 80 --> Subtract 64 from both sides
- 4d² = - 144 --> Divide both sides by - 4
d² = 36 --> Square root both sides
<u>d = 6
</u>Now, find the values of the terms of the sequence by using substituting the values of x and d into the expressions given.
<u>
</u><u />1. x - d = 4 - 6 = <u>- 2
</u><u></u>2.<u> x = 4</u>
3. x + d = 4 + 6 = <u>10
</u>
The three terms are - 2, 4, 10.
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