To state: The solutions for the system of equation by substitution also check the answer.
The resultant solution is
Given information:
The given system equations is:
Explanation:
Write the original system equations:
Let’s number the equation,
Solve equation (2) for x ,
Substitute
Now substitute
Add equation (4) and (5) to eliminate variable y ,
Now find the value of variable y by substituting the value of z in equation (4) and simplify,
Now find the value of variable x by substituting the values of y and z in equation (1) and simplify,
Therefore, the solution for the given system of equation is
Now check the solution by substituting the values of variables x , y and z into the other two original equations,
Similarly substitute values of variables x , y and z into equation (3),
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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