Answer:
Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex] ⇒ 3rd answer
Step-by-step explanation:
Lets revise the Cramer's rule
- If the system of equation is ax + by = c and dx + ey = f
- A is the matrix represent this system of equation
- The first column has the coefficients of x, and
the second column has the coefficients of y
∴ A = [tex]\left[\begin{array}{cc}a&b\\d&e\end{array}\right][/tex]
- Ax means replace the column of x by the answers of the equation
∴ Ax = [tex]\left[\begin{array}{cc}c&b\\f&e\end{array}\right][/tex]
- Ay means replace the column of y by the answers of the equation
∴ Ay = [tex]\left[\begin{array}{cc}a&c\\d&f\end{array}\right][/tex]
* Now lets solve the problem
∵ 4x - y = -3 and -2x + y = 5
∴ A = [tex]\left[\begin{array}{cc}4&-1\\-2&1\end{array}\right][/tex]
- Replace the column of x by the answer to get Ax
∴ Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]
* Ax in the system of equation is [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]
