How do you solve the system w + z = 14 and w - 2z = 2 by substitution?

1 Answer

w+z = 14
w= color(red)(14-z......equation(1)
w - 2z = 2.....equation (2)

Substituting equation (1) in (2)
color(red)(( 14-z))-2z =2
14 - 3z = 2
- 3z =- 12
z = 12/3 = 4

Substituting z in equation (1) to find w
w= 14-z
w= 14-4 = 10

The solution for the system of equations is
color(blue)(z = 4, w=10