To fill: The blank in the statement “To solve a system of equation by the _________solve one equation for one variable in terms of other. Then substitute in the other equation”.
Answer to Problem 10SGR
The complete statement is “To solve a system of equation by the substitution, solve one equation for one variable in terms of other. Then substitute in the other equation”.
Explanation of Solution
Given information:
The statement “To solve a system of equation by the _________solve one equation for one variable in terms of other. Then substitute in the other equation”.
Consider the provided statement “To solve a system of equation by the _______solve one equation for one variable in terms of other. Then substitute in the other equation”.
The methodology to solve a system of equation in two or three variable substitution is used in which from one equation value of one variable is isolated and then substituted in the second equation so that equation is changed in single variable.
Whatever value is obtained it is then put in first firs equation and solve for the remaining variable.
Consider the system of equations
Use the method of substitution to solve the system above.
From the equation
Now substitute
Now, substitute
Therefore, solution is the coordinate pair,
Thus, the complete statement is “To solve a system of equation by the substitution, solve one equation for one variable in terms of other. Then substitute in the other equation”.
Chapter 3 Solutions
Algebra 2
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