SOLUTION: Write 3 equations equivalent to 6x=10 and one that is non equivalent. we came up with x=1.6-

Algebra ->  Expressions-with-variables -> SOLUTION: Write 3 equations equivalent to 6x=10 and one that is non equivalent. we came up with x=1.6-      Log On


   



Question 148249: Write 3 equations equivalent to 6x=10 and one that is non equivalent.
we came up with x=1.6-

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
To figure this out, just manipulate the equation 6x=10. That means multiply it or divide it by something. Anything. Let's multiply it by 2.

6x=10 times 2=12x=20. That's equivalent.

Now let's divide it by 2.

6x=10 divided by 2=3x=5. That's equivalent.

Now let's multiply it by 3.

6x=10 times 3=18x=30.

So three equations that are equivalent to 6x=10 are 12x=20, 3x=5, and 18x=30.

To make one of these not equivalent, simply add or subtract something to one side only. Or multiply or divide one side only. So take 6x=10 and for instance, add three to the left side. You get 6x=13. That's not equivalent.

6x=10 = 12x=20, 3x=5, and 18x=30.
6x=10 does not = 6x=13.

By the way, x does equal 1.666666667. You were right. That's just not what the question was asking for.