To explain: The preferred method among substitution and elimination to solve system of two linear equations containing two variables.
Answer to Problem 84AYU
The preferred method is elimination.
Explanation of Solution
Given information:
The methods substitution and elimination.
Calculation:
To solve a system of two linear equation with two variables, the method of elimination is preferred as it much simpler and avoid any fractional term. One variable is eliminated easily when equations are transformed.
Consider the system of equations
Multiply the second equation by 2,
Rewrite the system as,
Use the method of elimination to solve the system above.
Add both the equations,
Therefore,
Now substitute
Therefore, solution is the coordinate pair,
Consider the system of equations
Use the method of substitution to solve the system above.
From the equation
Now substitute
Simplify it further as,
Now, substitute
Therefore, solution is the coordinate pair,
Thus, the preferred method is elimination.
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