To state: The solutions for the system of equation by elimination 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,
Multiply equation (1) by -2,
Add equation (3) and (4) to eliminate variable y ,
Number the resultant equation,
Add equation (2) and (5) to eliminate variable z ,
Now find the value of variable b by substituting the value of c in equation (2) and simplify,
Now find the value of variable a by substituting the values of b and c 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 a , b , and c into the other two original equations,
Similarly substitute values of variables a , b , and c into equation (3),
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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