Question

"Question 5 Solve the linear equation [3t-2] / 4 - [2t+3] / 3 = 2/3 - t

Linear Equations in One Variable Page 34"

Answer 1

Equations with linear expressions in one variable only are known as linear equations in one variable.

 

An algebraic equation is an equality involving variables. It has an equality sign(=). The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS).

In an equation the values of the expressions on the LHS and RHS are equal.

Transposition:

Any term of a equation may be taken from one side to other with the change in its sign, this does not affect the equality of the statement . This process is called transposition.

 

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Solution:

 [3t-2] / 4 - [2t+3] / 3 = 2/3 - t

LCM of the denominators 3 and 4 is 12.

 {[3(3t-2)] - [4(2t+3) ] }/12=2/3- t

9t-6-8t-12= 12 (2/3 -t) (solving the brackets)

9t-8t-18= 24/3- 12t

t-18= 8-12t

t+12t = 8+18

[Transposing 12t to LHS & 18 to RHS]

13t= 26

t=2.

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Hope this will help you.. 

Answer 2

Answer:

Step-by-step explanation:

3t-2/4-2t+3/3=2/3-t

Take lcm

(3*3t)-(2*3)- (4*2)+(3*4)/12=12*2/3-t

9t-6-85-12/12=24/3-12t

T=18= 8-12t

T=12t=8+8

13t=26

T=26/3

T=2

Answer plz like of this helps u