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NCERT Exemplar Solutions Class 8 Mathematics Solutions for Linear Equations in One Variable - Exercise in Chapter 4 - Linear Equations in One Variable
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((0.2x + 5)/ (3.5x - 3)) = (2/5)
Answer:
We have,
((0.2x + 5)/ (3.5x - 3)) = (2/5)
By cross multiplication, we get
5 × (0.2x + 5) = 2 × (3.5x - 3)
x + 25 = 7x - 6
Transposing x to RHS it becomes - x and -6 to LHS it becomes 6.
25 + 6 = 7x – x
31 = 6x
x = 31/6
Video transcript
"hello students i am rita your math
leader tutor
and the today's question is 0.2
x plus 5 whole divided by
3.5 x minus
3 is equal to
2 by 5
so in this question we cross multiply
each other when we cross multiply then
5 multiplies 0.2 x plus
5 is equal to 2
bracket 3.5 x minus
3. now we apply the distributive
property 5 into 0.2
so it becomes 1.0 x plus
5 into 5 we got 25
then 2 into 3.5 then it becomes
7.0 x minus
2 into 3 then it becomes 6
now we separate out the variables
7 and constant what constant are 2.5
and 6 so
1.0 x minus 7.0 x is equal to
minus 6 minus 25
so minus 6x is equal to
minus 6x is equal to
minus 31 so the value of
x is equal to minus 31 divided by
minus 6 minus minus cancel out each
other it means the value of
x is equal to 31 divided by
six so this is our answer
i hope you like this video so please
subscribe please for more updates and do
comment your
questions thank you"
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