1. The value of x is
Option (B) is correct.
2. The value of x is
. Option (A) is correct.
3. The value of x is
. Option (D) is correct.
4. The value of x is
. Option (A) is correct.
5. The value of x is
. Option (C) is correct.
Further explanation:
Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.
Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.
Explanation:
Part (1)
The given equation is ![4x = - 36](https://tex.z-dn.net/?f=4x%20%3D%20%20-%2036)
Solve the above expression to obtain the value of x.
![\begin{aligned}4x &= - 36\\\frac{{4x}}{4}&= \frac{{ - 36}}{4}\\x&= - 9\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D4x%20%26%3D%20-%2036%5C%5C%5Cfrac%7B%7B4x%7D%7D%7B4%7D%26%3D%20%5Cfrac%7B%7B%20-%2036%7D%7D%7B4%7D%5C%5Cx%26%3D%20-%209%5C%5C%5Cend%7Baligned%7D)
The value of
is ![\boxed{x = - 9}.](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%20%20-%209%7D.)
Part (2)
The equation is ![5x - 15 = 50.](https://tex.z-dn.net/?f=5x%20-%2015%20%3D%2050.)
Solve the above expression to obtain the value of x.
![\begin{aligned}5x - 15 &= 50\\5x &= 65\\x&= \frac{{65}}{5}\\x&= 13\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D5x%20-%2015%20%26%3D%2050%5C%5C5x%20%26%3D%2065%5C%5Cx%26%3D%20%5Cfrac%7B%7B65%7D%7D%7B5%7D%5C%5Cx%26%3D%2013%5C%5C%5Cend%7Baligned%7D)
The value of
is ![\boxed{x = 13}.](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%2013%7D.)
Part (3)
The equation is ![4\left( {x + 2} \right) - 17 = 35.](https://tex.z-dn.net/?f=4%5Cleft%28%20%7Bx%20%2B%202%7D%20%5Cright%29%20-%2017%20%3D%2035.)
Solve the above expression to obtain the value of x.
![\begin{aligned}4\left( {x + 2} \right) - 17 &= 35\\4x + 8 &= 35 + 17 \\4x &= 52- 8\\4x &= 44\\x &= 11\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D4%5Cleft%28%20%7Bx%20%2B%202%7D%20%5Cright%29%20-%2017%20%26%3D%2035%5C%5C4x%20%2B%208%20%26%3D%2035%20%2B%2017%20%5C%5C4x%20%26%3D%2052-%208%5C%5C4x%20%26%3D%2044%5C%5Cx%20%26%3D%2011%5C%5C%5Cend%7Baligned%7D)
The value of
is ![\boxed{x = 11}.](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%2011%7D.)
Part (4)
The equation is ![6x + 12 = 4x - 18.](https://tex.z-dn.net/?f=6x%20%2B%2012%20%3D%204x%20-%2018.)
Solve the above expression to obtain the value of x.
![\begin{aligned}6x + 12 &= 4x - 18\\6x - 4x &= - 18 - 12\\2x &= - 30\\x &= \frac{{ - 30}}{2}\\x &=- 15\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D6x%20%2B%2012%20%26%3D%204x%20-%2018%5C%5C6x%20-%204x%20%26%3D%20%20-%2018%20-%2012%5C%5C2x%20%26%3D%20-%2030%5C%5Cx%20%26%3D%20%5Cfrac%7B%7B%20-%2030%7D%7D%7B2%7D%5C%5Cx%20%26%3D-%2015%5C%5C%5Cend%7Baligned%7D)
The value of
is ![\boxed{x = - 15}.](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%20-%2015%7D.)
Part (5)
The equation is ![\dfrac{1}{2}\left( {4x - 10} \right) + 5 = x - 11](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Cleft%28%20%7B4x%20-%2010%7D%20%5Cright%29%20%2B%205%20%3D%20x%20-%2011)
Solve the above expression to obtain the value of x.
![\begin{aligned}\frac{1}{2}\left( {4x - 10} \right) + 5 &= x - 11\\\frac{1}{2}\left( {4x - 10} \right) &= x - 11 - 5\\\left( {4x - 10} \right) &= 2\left( {x - 16} \right)\\4x - 10 &= 2x - 32\\4x - 2x &= - 32 + 10\\2x &= - 22\\x&= - 11\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B1%7D%7B2%7D%5Cleft%28%20%7B4x%20-%2010%7D%20%5Cright%29%20%2B%205%20%26%3D%20x%20-%2011%5C%5C%5Cfrac%7B1%7D%7B2%7D%5Cleft%28%20%7B4x%20-%2010%7D%20%5Cright%29%20%26%3D%20x%20-%2011%20-%205%5C%5C%5Cleft%28%20%7B4x%20-%2010%7D%20%5Cright%29%20%26%3D%202%5Cleft%28%20%7Bx%20-%2016%7D%20%5Cright%29%5C%5C4x%20-%2010%20%26%3D%202x%20-%2032%5C%5C4x%20-%202x%20%26%3D%20-%2032%20%2B%2010%5C%5C2x%20%26%3D%20-%2022%5C%5Cx%26%3D%20-%2011%5C%5C%5Cend%7Baligned%7D)
The value of
is ![\boxed{x = - 11}.](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%20-%2011%7D.)
Learn more
- Learn more about the polynomial brainly.com/question/12996944
- Learn more about logarithm model brainly.com/question/13005829
- Learn more about the product of binomial and trinomial brainly.com/question/1394854
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: factor, factorization, 4x = -36, 5x-15=50, 4(x+2)-17=35, equation, value of x, division, multiplication, subtraction, solve the equation, solution, linear equation, line