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The best and most correct answers among the choices provided by the question are:
4y − x = −12
2y − x = 16
Hope my answer would be a great help for you.
The best and most correct answers among the choices provided by the question are:
4y − x = −12
2y − x = 16
Hope my answer would be a great help for you.
Answer:
option (2) is correct.
The set up for the given equation as a system of equations is
4y − x = −12
2y − x = 16
Step-by-step explanation:
Given : [tex]\frac{1}{4}x-3=\frac{1}{2}x+8[/tex]
We have to set up the given equation as a system of equations.
The given equation has two sides right side and left side since, LHS = RHS , so we can put both sides equal to a single variable say y ,
Thus, [tex]\frac{1}{4}x-3=y[/tex] ..........(1)
[tex]\frac{1}{2}x+8=y[/tex] .....(2)
We have obtained the system of equations.
Since, we have choose out of given options , so we will simplify the above two equations, as
Multiply equation (1) by 4 , we get,
(1) ⇒ [tex]x-12=4y[/tex]
Taking variable one side we get, 4y - x = -12
Multiply equation (2) by 2 , we get,
(2) ⇒ [tex]x+16=2y[/tex]
Taking variable one side we get, 2y - x = 16
Thus, option (2) is correct.
The set up for the given equation as a system of equations is
4y − x = −12
2y − x = 16