(2x-y)-(x+3y)I=7

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Solution for (2x-y)-(x+3y)I=7 equation:


Simplifying
(2x + -1y) + -1(x + 3y) * I = 7

Remove parenthesis around (2x + -1y)
2x + -1y + -1(x + 3y) * I = 7

Reorder the terms for easier multiplication:
2x + -1y + -1I(x + 3y) = 7
2x + -1y + (x * -1I + 3y * -1I) = 7
2x + -1y + (-1xI + -3yI) = 7

Reorder the terms:
2x + -1xI + -1y + -3yI = 7

Solving
2x + -1xI + -1y + -3yI = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.
2x + -1xI + -1y + y + -3yI = 7 + y

Combine like terms: -1y + y = 0
2x + -1xI + 0 + -3yI = 7 + y
2x + -1xI + -3yI = 7 + y

Add '3yI' to each side of the equation.
2x + -1xI + -3yI + 3yI = 7 + y + 3yI

Combine like terms: -3yI + 3yI = 0
2x + -1xI + 0 = 7 + y + 3yI
2x + -1xI = 7 + y + 3yI

Reorder the terms:
-7 + 2x + -1xI + -1y + -3yI = 7 + y + 3yI + -7 + -1y + -3yI

Reorder the terms:
-7 + 2x + -1xI + -1y + -3yI = 7 + -7 + y + -1y + 3yI + -3yI

Combine like terms: 7 + -7 = 0
-7 + 2x + -1xI + -1y + -3yI = 0 + y + -1y + 3yI + -3yI
-7 + 2x + -1xI + -1y + -3yI = y + -1y + 3yI + -3yI

Combine like terms: y + -1y = 0
-7 + 2x + -1xI + -1y + -3yI = 0 + 3yI + -3yI
-7 + 2x + -1xI + -1y + -3yI = 3yI + -3yI

Combine like terms: 3yI + -3yI = 0
-7 + 2x + -1xI + -1y + -3yI = 0

The solution to this equation could not be determined.

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