Steps to solve 3 (x -5) + 7 x = 65
2 answers:
To solve this, you need to isolate/get the variable "x" by itself in the equation:
3(x - 5) + 7x = 65 Distribute 3 into (x - 5)
(3)x + (3)(-5) + 7x = 65
3x - 15 + 7x = 65 Combine like terms(terms that have the same variable and power/exponent), or combine 3x and 7x
10x - 15 = 65 Add 15 on both sides
10x - 15 + 15 = 65 + 15
10x = 80 Divide 10 on both sides to get "x" by itself
x = 8
PROOF
3(x - 5) + 7x = 65 Substitute/plug in 8 into "x" since x = 8
3(8 - 5) + 7(8) = 65
3(3) + 56 = 65
9 + 56 = 65
65 = 65
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Answer:
The system is inconsistent.
Step-by-step explanation:
The system is
The associated matrix to the system is
Now we use row operations to find the echelon form of the matrix:
1. We substract to row 2, two times the row 1.
We substract to row 3, three times the row 1.
We substract to row 4, four times the row 1 and obtain the matrix
2. We multiply the second row of the preview step by -1/4. We obtain the matrix
3.
We add to row 3, eight times the row 2.
We add to row 4, fourtheen times the row 2 and obtain the matrix
4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix
Using backward substitution we have that
, then
and this is absurd. Then The system is inconsistent.
Answer:
Either, , -0.75, or 4x = -3!
Step-by-step explanation: