4/5-2p/5=6/5
Please help me solve this and show how you did it. Thanks
4 / 5 - 2 p / 5 = 6 / 5 Multiply both sides by 5
4 - 2 p = 6
- 2 p = 6 - 4
- 2 p = 2 Divide both sides by -2
p = 2 / ( - 2 )
p = - 1
To solve the equation 4/5 - 2p/5 = 6/5, let's follow these steps:
Step 1: Clear the denominators
To eliminate the denominators, we can multiply both sides of the equation by the lowest common denominator (LCD), which in this case is 5. So, we should multiply each term by 5.
(5)(4/5) - (5)(2p/5) = (5)(6/5)
After simplification, the equation becomes:
4 - 2p = 6
Step 2: Isolate the variable
To isolate the variable, move the constants to the other side of the equation. In this case, we can move the 4 to the right side by subtracting it from both sides.
4 - 2p - 4 = 6 - 4
Simplifying further:
-2p = 2
Step 3: Solve for the variable
To solve for p, we need to get rid of the coefficient -2 by dividing both sides of the equation by -2.
-2p / -2 = 2 / -2
Simplifying:
p = -1
So, the solution to the equation 4/5 - 2p/5 = 6/5 is p = -1.