Answers
Hello!
[tex]\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}[/tex]
We can go through each equation to solve:
1.
x + 3 = 4(x - 1) + 2
Distribute the coefficient outside of the parenthesis:
x + 3 = 4(x) + 4(-1) + 2
Simplify:
x + 3 = 4x - 4 + 2
x + 3 = 4x - 2
Subtract x from both sides:
3 = 3x - 2
Add 2 to both sides:
5 = 3x
Divide both sides by 3:
5/3 = x. This is not the answer.
2.
2x - 8 = 7 - 3x
Add 3x to both sides:
5x - 8 = 7
Add 8 to both sides:
5x = 15
Divide both sides by 5:
5x/5 = 15/5
x = 3. This is an answer.
3.
3(x + 2) = 14 - x
Distribute:
3(x) + 3(2) = 14 - x
3x + 6 = 14 - x
Add x to both sides:
4x + 6 = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4:
4x/4 = 8/4
x = 2. This is not an answer.
4.
4(x - 1) = x + 5
Distribute:
4x - 4 = x + 5
Subtract x from both sides:
3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide both sides by 3:
3x/3 = 9/3
x = 3. This is an answer.
5.
5 - 2(x + 1) = x
Distribute:
5 - 2x - 2 = x
Simplify:
3 - 2x = x
Add 2x to both sides:
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1. This is not an answer.
6.
6(x - 4) = 2x
Distribute:
6x - 24 = 2x
Subtract 6x from both sides:
-24 = -4x
Divide both sides by -4:
-24/(-4) = -4x/(-4)
x = 6. This is not an answer.
Answer:
2x - 8 = 7 - 3x
4(x -1) = x + 5
Step-by-step explanation:
2) 2x - 8 = 7 - 3x
2x + 3x - 8 = 7
5x - 8 = 7
5x = 7 + 8
5x = 15
x = 15/5
x = 3
4) 4(x -1) = x + 5
4x - 4 = x + 5
4x - 4 - x = 5
3x - 4 = 5
3x = 5 + 4
3x = 9
x = 9/3
x = 3
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Step-by-step explanation:
(8x^2-9y^2-4x) +(x^2-3y^2-7x)
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What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomials are given as follows:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
By combining like terms, we can add the polynomials:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
= 8x² - 4x² - 9y² - 3y² - 4x - 7x
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Therefore, the sum of the polynomials is 4x² - 12y² - 11x.
Hence, the correct answer is option (D) 4x² - 12y² - 11x.
Learn more about the polynomial here:
brainly.com/question/11536910
#SPJ7
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
If Alex has 5 lizards and he divides them equally among 5 cages then the equation for that would be 5÷5.
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Answer:
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Step-by-step explanation:
Each time, a person takes 1, 2, 3, or 4 chips. The strategy for a player to win the game is taking the number of chips so that the number of chips left is the form of 5k + 1 .
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