Question

Solve the system by finding the determinants and using Cramer's Rule: 2x - y = 4 3x + y = 1

Answer 1

Answer:

(1, - 2)

Step-by-step explanation:

2x - y = 4

3x + y = 1

A = $\left[\begin{array}{cc}2&-1\\3&1\end{array}\right]$ = 2(1) - 3( - 1) =2 + 3 = 5

$A_{x}$ = $\left[\begin{array}{cc}4&-1\\1&1\end{array}\right]$ = 4(1) - 1(- 1) = 4 + 1 = 5

$A_{y}$ = $\left[\begin{array}{cc}2&4\\3&1\end{array}\right]$ = 2(1) - 4(3) = 2 - 12 = - 10

x = $\frac{A_{x} }{A}$ = 1

y = $\frac{A_{y} }{A}$ = - 2

(1, - 2)