what is the solution of the equation shown. -4w+5/3= -13
w=-11
w=11
w=7 3/4
w=-41/2
show the steps you had for this simple equation
i mean -4w+5=-13
To find the solution to the equation -4w + 5/3 = -13, we need to isolate the variable w on one side of the equation.
Step 1: Simplify the equation
Start by subtracting 5/3 from both sides of the equation to isolate the term with w:
-4w + 5/3 - 5/3 = -13 - 5/3
-4w = -13 - 5/3
Step 2: Combine the terms on the right side
To combine the terms on the right side, we need a common denominator for -13 and 5/3, which is 3:
-4w = -39/3 - 5/3
-4w = (-39 - 5)/3
-4w = -44/3
Step 3: Divide by -4
Finally, we need to divide both sides of the equation by -4 to solve for w:
-4w / -4 = (-44/3) / -4
w = 44/3 / 4
w = 44/3 * 1/4
w = 44/12
w = 11/3
Therefore, the solution to the equation -4w + 5/3 = -13 is w = 11/3.