Algebra-2

To find the value of z such that the point (0, 2, z) is a solution to the given system of equations, we will substitute x = 0 and y = 2 into each equation and solve for z.

Given System of Equations

1. x - y + z = -3   (Equation 1)  

2. 2x + 4y + 3z = 5   (Equation 2)  

3. -x + 2y - z = 5  (Equation 3)  

 

Substitute x = 0 and y = 2 into the Equations

Step 1: Substitute into Equation 1

Substituting x = 0 and y = 2 into Equation 1:

0 - 2 + z = -3

-2 + z = -3

z = -1

 

Step 2: Substitute in...