Question

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

Answer 1

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