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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

Sagot :

semsee45

Answer:

2.3p - 10.1 = 6.49p - 4

230p - 1010 = 650p - 400 - p

Step-by-step explanation:

Option 1

Given equation:

[tex]2.3p - 10.1 = 6.5p - 4 - 0.01p[/tex]

Collect like terms:

[tex]\implies 2.3p - 10.1 = 6.5p - 0.01p - 4[/tex]

Combine like terms:

[tex]\implies 2.3p - 10.1 = (6.5 - 0.01)p - 4[/tex]

[tex]\implies 2.3p - 10.1 = 6.49p - 4[/tex]

Option 2

Given equation:

[tex]2.3p - 10.1 = 6.5p - 4 - 0.01p[/tex]

Multiply each term by 100 by moving the decimal point 2 places to the right:

[tex]\implies 100 \cdot 2.3p - 100 \cdot 10.1 = 100 \cdot 6.5p - 100 \cdot 4 - 100 \cdot 0.01p[/tex]

[tex]\implies 230p - 1010 = 650p - 400 - 1p[/tex]

Simplify:

[tex]\implies 230p - 1010 = 650p - 400 - p[/tex]

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