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Damita says the equations 0.8x - 0.8 = 1.6 and 4/5 ( x - 1 ) = 1 (3/5) are the same. How can she show this without solving the equations?

Respuesta :

To show that the equations are the same, we need to rewrite one of the equations as an equivalent equation of the second

Damita's claim is true

How to show the equations are the same

The equations are given as:

0.8x - 0.8 = 1.6

4/5 ( x - 1 ) = 1 (3/5)

We need to rewrite one of the equations, as follows:

4/5 ( x - 1 ) = 1 (3/5)

Express as decimal

0.8 ( x - 1 ) = 1 + 0.6

Open the brackets

0.8x - 0.8 = 1.6

Now we have:

0.8x - 0.8 = 1.6 (the first equation) and 0.8x - 0.8 = 1.6 (the equivalent of the second equation)

The above shows that both equations are the same

Read more about equivalent equations at:

https://brainly.com/question/2972832