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Combining like terms in the given expression makes it simplify to ...
(2x -18x) +(14y) +(9 -10) = -16x +14y -1
We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:
- 2x -18x +14y -19 = -16x +14y -19 . . . not the same
- -2xy -1 . . . not the same
- 16x +14y -1 . . . not the same
- 9 -16x +14y -10 = -16x +14y -1 . . . equivalent
- -16x +14y -1 . . . equivalent and simplified
- 2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Answer and Step-by-step explanation:
Solve for x.
Distribute the 2.
4x - 5 = 4x - 2 - 3
Combine like terms
4x - 5 = 4x - 5
Add 5, and subtract 4x.
0 = 0
There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.
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Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
See photo for solution and mark me as brainliest if you think i helped!
B is false, since by the inclusion/exclusion principle,
By independence, we have 
, which is zero if either of 
or 
is 0, which isn't guaranteed.
