To state: The complete system for infinitely many solutions:
The complete system is
Given information:
The given system is
Explanation:
Consider the given system:
Write the matrix for the given system of equations:
Assume the element
Now solve the matrix,
Apply operation
For the system to have infinitely many solutions the second row should be 0. Thus
So, the resultant matrix is:
The system of equations represented by the matrix is a single equation
Therefore, the complete system should be
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Dalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more gems than Grace? Show your work.arrow_forwardSolve the following system of equations. Show all work and solutions.y = 2x2 + 6x + 1y = −4x2 + 1arrow_forwardSolve the following systems of equations and show all work.y = x2 + 3y = x + 5arrow_forward
- Write an equation for the function shown. You may assume all intercepts and asymptotes are on integers. The blue dashed lines are the asymptotes. 10 9- 8- 7 6 5 4- 3- 2 4 5 15-14-13-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 1 1 2 3 -1 -2 -3 -4 1 -5 -6- -7 -8- -9 -10+ 60 7 8 9 10 11 12 13 14 15arrow_forwardUse the graph of the polynomial function of degree 5 to identify zeros and multiplicity. Order your zeros from least to greatest. -6 3 6+ 5 4 3 2 1 2 -1 -2 -3 -4 -5 3 4 6 Zero at with multiplicity Zero at with multiplicity Zero at with multiplicityarrow_forwardUse the graph to identify zeros and multiplicity. Order your zeros from least to greatest. 6 5 4 -6-5-4-3-2 3 21 2 1 2 4 5 ૪ 345 Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity པ་arrow_forward
- Use the graph to write the formula for a polynomial function of least degree. -5 + 4 3 ♡ 2 12 1 f(x) -1 -1 f(x) 2 3. + -3 12 -5+ + xarrow_forwardUse the graph to identify zeros and multiplicity. Order your zeros from least to greatest. 6 -6-5-4-3-2-1 -1 -2 3 -4 4 5 6 a Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity Zero at with multiplicityarrow_forwardUse the graph to write the formula for a polynomial function of least degree. 5 4 3 -5 -x 1 f(x) -5 -4 -1 1 2 3 4 -1 -2 -3 -4 -5 f(x) =arrow_forward
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