Zachary is solving the following equation.
Three-fourths (x minus 8) = 12
Which is the best first step to begin to simplify the equation?
Answers
Answer:
x = 24
Step-by-step explanation:
Our objective is to obtain x on one side of the equation and thereby find its value. Hence, we need to send all other numbers to the other side. The first step would be to multiply both sides of the equation with 4/3. With that, you will get:
x - 8 = 12(4/3) = 16
Next, you should add eight to both sides of the equation.
x = 16 + 8 = 24
Hence, you obtain the value of x.
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Given : Zachary is solving the following equation
3/4(x - 8)= 12
To Find : Which is the best first step to begin to simplify the equation?
A. Multiply both sides of the equation by 3/4
B. Divide both sides of the equation by 4/3
C. Distribute 3/4 over (x - 8)
D. Distribute 4/3 over (x - 8)
Solution:
Multiply both sides of the equation by 3/4 - Would not Simplify as (3/4) on LHS will become 9/16
Divide both sides of the equation by 4/3 is Equivalent to Multiply both sides of the equation by 3/4 Hence would not simplify
Distribute 4/3 over (x - 8) - Not possible as 4/3 is not there in Equation
Hence Distribute 3/4 over (x - 8) is the Correct option
3/4(x - 8)= 12
=> (3/4)x - 6 = 12
=> (3/4)x = 18
=> x = 18 (4/3)
=> x = 24
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