Question

x +7 - 8x/3 = 17/6-5x/2​

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. Ithas 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:

X+7 -8x/3 = 17/6 – 5x/2

X+7 -8x/3 +5x/2= 17/6

[ Transposing 5x/2 to L.H.S]

LCM of the denominators 2, 3 is 6.

[6(x+7)- 2(8x)+3(5x)]/6=17/6

6x+42-16x+15x=6× (17/6)

6x-16x+15x+42= 17

-10x+15x=17-42

 

[Transposing

42 to R.H.S]

5x=

-25

x= -25/5

X= -5

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Hope this will help you.....

Answer 2

Answer:

$x +7 - 8x/3 = 17/6-5x/2$

Step-by-step explanation:

$x +7 - 8x/3 = 17/6-5x/2$

$= >(3 (x +7) - 8x)/3 = (17-15x)/6 \\ = >2(3x + 21 - 8x) = 17 - 15x \\ = > - 10x + 42 = 17 - 15x \\ = > 5x = - 25 \\ = > x = 5$