X = 3z - 22
z = 6
5x + 4y + 3z = 14
5 (3z - 22) + 4y + 3 (6) = 14
15z - 110 + 4y + 18 = 14
15 . 6 - 110 + 4y + 18 = 14
90 - 110 + 4y + 18 = 14
90 - 110 + 18 - 14 + 4y = 0
-16 + 4y = 0
4y = 16
y = 4
Answer:
Step-by-step explanation:

Answer:
y + 2 = -0.069(x-+5)
Step-by-step explanation:
SInce the two lines intersects, we will equate it
Multiply x + 3y = 0 by 4;
4x + 12y = 0
4x-4y-13 = 0,
Subtracts both
12y +4y + 13 = 0
16y = 13
y = 13/16
get x;
x + 3(13/16) = 0
x = -39/16
The point of intersection is (0.8, -2.4) and (-5,-2)
Get the equation;
m = y2-y1/x2-x1
m = -2+2.4/-5-0.8
m = 0.4/-5.8
m = -0.069
Get the equation;
y - y0 = m(x-x0)
y - (-2)= -0.069(x-(-5))
y + 2 = -0.069(x-+5)