Given the system of equations In (3x) +In (x +2y) = A { In (4x +y) +In (5y) = B where A = 4 and B = 5 Find the 5th iteration value of x using the successive displacement method with an initial guess of (2, 3) by solving x in the In (3x) term of equation 1 and solving y in the In (5y) term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Given the system of equations
In (3x) +ln (x +2y) = A
{
In (4x +y) +ln (5y) = B
where A = 4
and B = 5
Find the 5th iteration value of x using the
successive displacement method with an initial
guess of (2, 3) by solving x in the In (3x) term of
equation 1 and solving y in the In (5y) term of
equation 2.
Round off your final answer to five decimal places.
Do not round off in preliminary calculations.
Transcribed Image Text:Given the system of equations In (3x) +ln (x +2y) = A { In (4x +y) +ln (5y) = B where A = 4 and B = 5 Find the 5th iteration value of x using the successive displacement method with an initial guess of (2, 3) by solving x in the In (3x) term of equation 1 and solving y in the In (5y) term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations.
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