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frozen [14]
3 years ago
9

3x + 3 – 2+2 = x + 5

Mathematics
2 answers:
Feliz [49]3 years ago
8 0

Answer:

x = 1

Step-by-step explanation:

First simplify and get 3x + 3 = x + 5

Then subtract x from both sides and get 2x + 3 = 5

Then subtract 3 from both sides and get 2x = 2

Divide both sides by 2 and get x = 1

allochka39001 [22]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

3x + 3 - 2+2 = x + 5

Simplify the equation:

3x +3= x+5

Subtract x from both sides:

2x +3= 5

Subtract 3 from both sides:

2x = 2

Divide by 2 on both sides:

x=1

Please mark as brainliest if you’re satisfied :)

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For this exercise assume that all matrices are ntimesn. Each part of this exercise is an implication of the form​ "If "statement
inna [77]

Answer:

C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.

Step-by-step explanation:

The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.

  • There is an n×n matrix C such that CA=I_n.
  • There is an n×n matrix D such that AD=I_n.
  • The equation Ax=0 has only the trivial solution x=0.
  • A is row-equivalent to the n×n identity matrix I_n.
  • For each column vector b in R^n, the equation Ax=b has a unique solution.
  • The columns of A span R^n.

Therefore the statement:

If there is an n X n matrix D such that AD=​I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:

  • The equation Ax=0 has only the trivial solution x=0.
  • A is row-equivalent to the n×n identity matrix I_n.

The correct option is C.

5 0
3 years ago
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