Respuesta :
The properties of equality can be used to rewrite the equations in
simplified form.
Two equations that have the same solution as the given equation are;
- [tex]\underline{2.3 \cdot p - 10.1 = 6.49 \cdot p - 4}[/tex]
- [tex]\underline{230 \cdot p - 1010 = 650 \cdot p - 400 - p }[/tex]
Reasons:
The given equation is; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p
Simplifying the above equation by collecting like terms gives;
2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4
- 2.3·p - 10.1 = 6.49·p - 4
Multiplication property of equality:
Both sides of an equation will remain equal, when both sides are
multiplied by the same amount.
Multiplying both sides of the original equation by 100 gives the same
solution as follows;
100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)
- 230·p - 1010 = 650·p - 400 - p
Learn more about the properties of equality here:
https://brainly.com/question/3638962