Answer:
Option B is the answer of the required system
Step-by-step explanation:
As given to us that
4y = x let it be equation (i)
and
3x - y = 70 let it be equation (ii)
Now from equation (i) we see that
x = 4y .................(iii)
Putting this value in equation (ii)
We will get
3(4y)-y=70
12y - y = 70
11 y = 70
or
y = [tex]\frac{70}{11}[/tex] ...................(iv)
Putting this in equation (iii)
Now it becomes
x = 4*[tex]\frac{70}{11}[/tex]
or
x=[tex]\frac{280}{11}[/tex]
AS the answer given to us are in mixed fractions so we will do the division of it
First for y
y = [tex]\frac{70}{11}[/tex]
Actually in the division we calculate the table of Divisor which is 11 to get a remainder and an answer
Now when we will calculate the table of 11 we see that
11 * 6 = 66
and 11 * 7 = 77
As 70 is smaller then 77 so
When we will do the division of 70 with 11
Quotient is 6 Remainder is 4 and divisor is 11
And it can be written in the form of Mixed fraction as
Answer = Quotient * [tex]\frac{Remainder}{Divisor}[/tex]
So
y = 6* [tex]\frac{4}{11}[/tex]
Now similarly for value of x
When we will do the division of 280 with 11
Quotient is 25 Remainder is 5 and divisor is 11
And it can be written in the form of Mixed fraction as
x = 25* [tex]\frac{5}{11}[/tex]
So Answer will be option B
