2x - y = - 2

x = 14 + 2y

What is the value of the system determinant?

What is the value of the y-determinant?

What is the value of the x-determinant?

What is the solution to the system of equations?

There is 3 different ways you can approach this question, I'll do it by using the substitution method.

1. Solve for y in 2x-y=-2

2x-y=-2

-y=-2-2x

y=2+2x

2. Substitute y=2+2x into x=14+2y

x=14+2y

x=14+2 (2+2x)

x=4x+18

3. Solve for x in x=4x+18

x=4x+18

x-4x=18

-3=18

x=-18/3

x=-6

4. Substitute x=-6 into y=2+2x

y=2+2x

y=2+2*-6

y=-10

5. Therefore,

x=-6

y=-10