Answer:
This equation does not have the same solution as the original equation.
In conclusion, equations 1 and 2 have the same solution as the original equation (2.3p – 10.1 = 6.5p – 4 – 0.01p). Equations 3, 4, and 5 do not have the same solution.
Explanation:
2.3p – 10.1 = 6.4p – 4
Using the commutative property of addition, we can rearrange the terms on the left-hand side of the equation to get:
-6.4p + 2.3p = -4 + 10.1
Combining like terms, we have:
-4.1p = 6.1
Dividing both sides by -4.1, we get:
p = -1.49
This equation has the same solution as the original equation.
2.3p – 10.1 = 6.49p – 4
Using the commutative property of addition, we can rearrange the terms on the left-hand side of the equation to get:
-6.49p + 2.3p = -4 + 10.1
Combining like terms, we have:
-4.19p = 6.1
Dividing both sides by -4.19, we get:
p = -1.46
This equation has the same solution as the original equation.
230p – 1010 = 650p – 400 – p
This equation does not have the same solution as the original equation.
23p – 101 = 65p – 40 – p
This equation does not have the same solution as the original equation.
2.3p – 14.1 = 6.4p – 4
Using the commutative property of addition, we can rearrange the terms on the left-hand side of the equation to get:
-6.4p + 2.3p = -4 + 14.1
Combining like terms, we have:
-4.1p = 10.1
Dividing both sides by -4.1, we get:
p = -2.47