What is the value of the system determinant for the following system of equations?

6x + y = 4

5x + y - 7 = 0

Let's solve for x. 5x + y - 7 = 0 Step 1: Add 7 to both sides. 5x + y - 7 + 7 = 0+7 5x + y = 7 Step 2: Add - y to both sides. 5x + y + - y = 7 + - y 5x = - y + 7 Step 3: Divide both sides by 5. 5x 5 = - y + 7 5 x = - 1 5 y + 7 5 Let's solve for x. 6x + y = 4 Step 1: Add - y to both sides. 6x + y + - y = 4 + - y 6x = - y + 4 Step 2: Divide both sides by 6. 6x 6 = - y + 4 6 x = - 1 6 y + 23 Answer: x = - 1 6 y + 2 3