4x+2y=18, 5x+4y=13 what is the value of x and y
1 answer:
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Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
- Only one solution , then independent system.
- More than one solution , then dependent system.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:
0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.
Answer:
The partial fraction decomposition is .
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of :
First, the form of the partial fraction decomposition is
Write the right-hand side as a single fraction:
The denominators are equal, so we require the equality of the numerators:
Expand the right-hand side:
The coefficients near the like terms should be equal, so the following system is obtained:
Solving this system, we get that .
Therefore,