Solve the system of equations.
12x - 5y = –20
y=x+4
2 =
Y=

Solution :

{x,y} = {0/14261512,4}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = x + 4

// Plug this in for variable y in equation [1]

[1] 12x - 5•(x +4) = -20

[1] 7x = 0

// Solve equation [1] for the variable x

[1] 7x = 0

[1] x = 0

// By now we know this much :

x = 0

y = x+4

// Use the x value to solve for y

y = (-0/14261512)+4 = 4