Algebra-2

To find the value of z such that the point (1, 0, z) is a solution to the given system of equations, we will substitute x = 1 and y = 0 into each equation and solve for z.

Given System of Equations

1. 2x - y + z = 5   (Equation 1)  

2. x + 3y + 2z = 7   (Equation 2)  

3. 4x + 5y - z = 1   (Equation 3)  

 

Substitute x = 1 and y = 0 into the Equations

Step 1: Substitute into Equation 1

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

2(1) - 0 + z = 5

2 + z = 5

z = 3

 

Step 2: Substitute into Equ...