Question

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answer 1

Step-by-step explanation:

To rewrite the given equation using properties:

2.3p – 10.1 = 6.5p – 4 – 0.01p 2.3p – 10.1 = 6.49p – 4 (combining like terms: 6.5p - 0.01p = 6.49p)

The two equations that have the same solution as the given equation are:

2.3p – 14.1 = 6.4p – 4 (subtracting 4 from both sides and combining like terms: -10.1 - 4 = -14.1 and -0.01p + 6.5p - 6.4p = 0.09p)

23p – 101 = 65p – 40 – p (combining like terms: 23p + p = 24p and -101 + 40 = -61)

Therefore, the options that have the same solution as the given equation are:

2.3p – 14.1 = 6.4p – 4

23p – 101 = 65p – 40 – p