Removing signs of grouping:
Linear equations in one variable of Class 8
If signs of grouping appear in an equation they should be removed in the manner indicated in chapter 9 of this course. For example, solve the equation.
5 = 24 - [x-12(x-2) - 6(x-2)]
Notice that the same expression, x-2, occurs in both parentheses. By combining the terms containing (x-2), the equation becomes
5 = 24 - [x-18(x-2)]
Next, remove the parentheses and then the bracket, obtaining
5 = 24 – [x – 18x + 36]
= 24 – [36 – 17x]
= 24 – 36 + 17x
= –12 + 17x
Subtracting 17x from both members and then subtracting 5 from both members, we have
–17x = –12 – 5
–17x = –17
Divide both members by -17. The solution is
x=1
- Linear equations
- Constants and variables
- Solution/Root of an equation
- linear equations examples
- Solution Requiring more than one operation
- Equations with literal coefficients
- Removing signs of grouping:
- Equations containing fractions
- Solved questions
- Exercise 1
- Exercise 2 (Fill in the blanks)
- Exercise 3 (True and False)
- Exercise 4
- Exercise 5
- Exercise 6
