To solve: The given system of equations
Answer to Problem 4CYU
The system has a unique solution given by
Explanation of Solution
Given Information:
The system of equations
Formula Used
Here, three equations with three unknown variables are given. The approach used is variable elimination and simplification.
(1) First two equations are multiplied with a factor such that one of the variable has identical coefficients.
(2) Add the modified equations to eliminate the particular variable.
(3) Then, the same process is repeated between any other combination of two equations.
(4) This gives two equations with two unknowns which can be further solved by elimination.
(3) Substitute the obtained variable in one of the equations to get the second variable and then the third variable.
Calculation Here, the equations are,
Considering the first two equations, Multiplying each of the terms in equation (2) by3, it becomes
Now, adding corresponding terms of (4) and (1) gives,
Now, multiplying each term of (2) by -5, the equation becomes,
Adding (6) and (3) ,
Subtracting (5) from (7) leads to
Using (5), the value of s can be obtained as,
Substituting the values of s and r in (2), the value of t can be calculated as,
Thus, the solution of the system is given by,
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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