Deepa stressed by the wheels of two trains are given by equation X + 2 Y - 4 is equal to 0 and 2x + 4 Y - 12 equal to zero will the parts cross each other who can solve this any expert is here or not
Answers
Answer:
Step-by-step explanation:
Simplifying
(2x + -1y + -2) * dx + (x + y + -4) * dy = 0
Reorder the terms:
(-2 + 2x + -1y) * dx + (x + y + -4) dy = 0
Reorder the terms for easier multiplication:
dx(-2 + 2x + -1y) + (x + y + -4) dy = 0
(-2 dx + 2x dx + -1y dx) + (x + y + -4) dy = 0
Reorder the terms:
(-2dx + -1dxy + 2dx2) + (x + y + -4) * dy = 0
(-2dx + -1dxy + 2dx2) + (x + y + -4) * dy = 0
Reorder the terms:
-2dx + -1dxy + 2dx2 + (-4 + x + y) dy = 0
Reorder the terms for easier multiplication:
-2dx + -1dxy + 2dx2 + dy(-4 + x + y) = 0
-2dx + -1dxy + 2dx2 + (-4 dy + x * dy + y * dy) = 0
Reorder the terms:
-2dx + -1dxy + 2dx2 + (dxy + -4dy + dy2) = 0
-2dx + -1dxy + 2dx2 + (dxy + -4dy + dy2) = 0
Reorder the terms:
-2dx + -1dxy + dxy + 2dx2 + -4dy + dy2 = 0
Combine like terms: -1dxy + dxy = 0
-2dx + 0 + 2dx2 + -4dy + dy2 = 0
-2dx + 2dx2 + -4dy + dy2 = 0
Solving
-2dx + 2dx2 + -4dy + dy2 = 0
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Factor out the Greatest Common Factor (GCF), 'd'.
d(-2x + 2x2 + -4y + y2) = 0
Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:
Simplifying
d = 0
Solving
d = 0
Move all terms containing d to the left, all other terms to the right.
Simplifying
d = 0
Subproblem 2
Set the factor '(-2x + 2x2 + -4y + y2)' equal to zero and attempt to solve:
Simplifying
-2x + 2x2 + -4y + y2 = 0
Solving
-2x + 2x2 + -4y + y2 = 0
Move all terms containing d to the left, all other terms to the right.
Add '2x' to each side of the equation.
-2x + 2x2 + -4y + 2x + y2 = 0 + 2x
Reorder the terms:
-2x + 2x + 2x2 + -4y + y2 = 0 + 2x
Combine like terms: -2x + 2x = 0
0 + 2x2 + -4y + y2 = 0 + 2x
2x2 + -4y + y2 = 0 + 2x
Remove the zero:
2x2 + -4y + y2 = 2x
Add '-2x2' to each side of the equation.
2x2 + -4y + -2x2 + y2 = 2x + -2x2
Reorder the terms:
2x2 + -2x2 + -4y + y2 = 2x + -2x2
Combine like terms: 2x2 + -2x2 = 0
0 + -4y + y2 = 2x + -2x2
-4y + y2 = 2x + -2x2
Add '4y' to each side of the equation.
-4y + 4y + y2 = 2x + -2x2 + 4y
Combine like terms: -4y + 4y = 0
0 + y2 = 2x + -2x2 + 4y
y2 = 2x + -2x2 + 4y
Add '-1y2' to each side of the equation.
y2 + -1y2 = 2x + -2x2 + 4y + -1y2
Combine like terms: y2 + -1y2 = 0
0 = 2x + -2x2 + 4y + -1y2
Simplifying
0 = 2x + -2x2 + 4y + -1y2
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}