Choose the graph that matches the following system of equations:

x + y = 4
2x + 3y = 18

Picture of coordinate plane with line y equals negative x plus 4 and line y = equals negative 2 thirds x plus 6. They intersect at negative 6, 10.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x plus 6. They intersect at 6, 2.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x minus 6. They intersect at negative 1.2, negative 5.2.
Picture of coordinate plane with line y equals x plus 4 and line y equals negative 2x plus 6. They intersect at 0.67, 4.67.

Respuesta :

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6