Answer:
The solution to the system of equations is
Explanation:
Giving the system of equations:
To solve this, we need to first of all eliminate one variable from any two of the equations.
Subtracting (2) from twice of (1), we have:
Subtracting (3) from 3 times (1), we have
From (4) and (5), we can solve for y and z.
Subtract 5 times (5) from 3 times (4)
Using the value of z obtained in (5), we have
Using the values obtained for y and z in (1), we have
Answer:
The correct answer is:
and
are the equations that have no solution.
Step-by-step explanation:
First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.
Let the equations be:
and
1. There exists exactly one solution:
2. There exists infinitely many solutions i.e. lines are identical.
3. There exists No solutions i.e. lines are parallel and will never intersect.
Now, let us have a look at the given pair of lines:
Option a)
The ratio:
Hence, the lines are identical, infinite solutions.
Option b)
The ratio:
Hence, exactly one solution.
Option c)
The ratio:
Hence, exactly one solution.
Option d)
The ratio:
Hence, There is no solution.
The correct answer is:
and
are the equations that have no solution.