Answer
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Hint: LHS stands for left hand side and RHS stands for right hand side. So, we just had to answer that part of the equation which is on the left hand side of the equation as LHS and the part which is on the right hand side of the equation as RHS.
Complete step-by-step answer:
As we know that for any whether it is linear, quadratic, cubic or any other polynomial equation. The definition of LHS and RHS remains the same.
Like LHS stands for Left hand side. So, as the name suggests, LHS of any equation is that part of any equation that is on the left side of the equal (=) sign on that equation.
And RHS stands for Right hand side. So, as the name suggests, the RHS of any equation is that part of any equation that is on the right side of the equal (=) sign on that equation.
So, now we are given with the equation and asked to find the LHS and RHS of that equation.
That equation is 4z + 1 = 8
So, we can see in the above equation that in the left side of the equal (=) sign is 4z + 1.
So, LHS of the equation will be 4z + 1.
And we can see that on the right side of the equal (=) sign is 8.
So, RHS of the equation will be 8.
Note:- We should remember that when we take any part of left hand side (LHS) of any equation to the right hand side (RHS) of that equation then sign of that part changes and sign also changes when we take some part of right hand side (RHS) of that equation to left hand side (LHS) of that equation. Like in the above given equation 4z + 1 = 8, if we take 1 from the LHS of the equation to the RHS of this equation then 1 becomes –1. SO, the equation will become 4z = 8 – 1. And another point to remember is LHS and RHS can be any equation, rational number, irrational number etc (i.e. LHS and RHS can be anything).
Complete step-by-step answer:
As we know that for any whether it is linear, quadratic, cubic or any other polynomial equation. The definition of LHS and RHS remains the same.
Like LHS stands for Left hand side. So, as the name suggests, LHS of any equation is that part of any equation that is on the left side of the equal (=) sign on that equation.
And RHS stands for Right hand side. So, as the name suggests, the RHS of any equation is that part of any equation that is on the right side of the equal (=) sign on that equation.
So, now we are given with the equation and asked to find the LHS and RHS of that equation.
That equation is 4z + 1 = 8
So, we can see in the above equation that in the left side of the equal (=) sign is 4z + 1.
So, LHS of the equation will be 4z + 1.
And we can see that on the right side of the equal (=) sign is 8.
So, RHS of the equation will be 8.
Note:- We should remember that when we take any part of left hand side (LHS) of any equation to the right hand side (RHS) of that equation then sign of that part changes and sign also changes when we take some part of right hand side (RHS) of that equation to left hand side (LHS) of that equation. Like in the above given equation 4z + 1 = 8, if we take 1 from the LHS of the equation to the RHS of this equation then 1 becomes –1. SO, the equation will become 4z = 8 – 1. And another point to remember is LHS and RHS can be any equation, rational number, irrational number etc (i.e. LHS and RHS can be anything).
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