what is 4x-15/2=1/2
4x-15/2=1/2
2*1/2=1
4x-15=1
4x=1+15
4x= 16
x= 16/4
x= 4
4x - 15/2 = 1/2
first we transpose all terms with no variable x to the right side of equation. that is, we transpose - 15/2 to the right. note that when we transpose, we change the sign to its opposite. thus is becomes positive:
4x = 1/2 + 15/2
when adding fractions, we first check if their denominators are the same. if they are the same, we can readily add the numerators. thus,
4x = 16/2
4x = 8
to get x alone, we divide both sides by the numerical coefficient or the number before the variable x (which is 4). thus,
x = 8/4
x = 2
hope this helps~ :)
To solve the equation 4x - 15/2 = 1/2, you can follow these steps:
Step 1: Clear the fractions (denominators) by multiplying both sides of the equation by 2. This will eliminate the fractions from the equation.
2 * (4x - 15/2) = 2 * (1/2)
8x - 15 = 1
Step 2: Simplify the equation by adding 15 to both sides of the equation.
8x - 15 + 15 = 1 + 15
8x = 16
Step 3: Divide both sides of the equation by 8 to solve for x.
(8x)/8 = 16/8
x = 2
Therefore, the solution to the equation 4x - 15/2 = 1/2 is x = 2.