Solve the following system of equations.
1 answer:
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Answer:
<h3>Length of carrier A = 2096 feet</h3><h3> Length of carrier B=2082 feet.</h3>Step-by-step explanation:
Given , two air craft carriers are A and B . The carrier A is longer than the carrier B in length.
Total length of two carriers =4178 feet
Difference of two carriers = 14 feet
Let
Length of carrier A =x feet
And
Legth of carrier B =y feet
According to question
The I equation is
x+y=4178
The II equation is
x-y= 14
Substitution method: In this method step I : we find value of x or y from the equation I
Step II: put the value of x or y in II equation then we get the value of another varaiable x or y
Step : Again put the obatined value of variable x or y from step II in equation I then we get value of other variable x or y .
By using substitution method ,
we find value of x from equation I
x= 4178-y
Now, put the value of x in equation II then we get
4178-y-y=14
4178-2y=14
4178-14=2y
4164=2y
y= 2082
Again , put the value of y in equation I
2082 +x=4178
x= 4178-2082
x=2096
Hence, the length of carrier A = 2096 feet
The length of carrier B= 2082 feet