
To solve the given system of linear equations.

Answer to Problem 65PPS
Infinitely many solutions.
Explanation of Solution
Given information: We have given a system of linear equations
Calculation: Let us solve the given system using Elimination method.
According to elimination method we need to eliminate a variable by adding or subtracting given equations in the system.
So, first we write the both equations in standard form
We need to make the coefficient same of a variable in both equations
Let us try to eliminate variable w .
Coefficient of w in first and second equation are 6 and 9. Least common multiple of 6 and 9 is 18. So, let us make both coefficients as 18 with opposite signs.
Therefore, multiply equation
Now, adding above equations and simplify
We could see that left side = right side.
Therefore, the given system has infinitely many solutions.
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