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garik1379 [7]
3 years ago
9

X + 2y = 5 x - 3y = 7 What is the value of the y-determinant? -2 -1 2

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer:

y-determinant = 2

Step-by-step explanation:

Given the following system of equation:

  • x + 2y = 5
  • x - 3y = 7

Let's represent it using a matrix:

\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] = \left[\begin{array}{ccc}5\\7\end{array}\right]

The y‐numerator determinant is formed by taking the constant terms from the system and placing them in the y‐coefficient positions and retaining the x‐coefficients. Then:

\left[\begin{array}{ccc}1&5\\1&7\end{array}\right]

y-determinant = (1)(7) - (5)(1) = 2.

Therefore, the y-determinant = 2

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