SKILLS
17-38 ■ Solving a System of Equations in Three Variables Find the complete solution of the linear system, or show that it is inconsistent.
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Chapter 10 Solutions
ALGEBRA AND TRIGONOMETRY-WEBASSIGN
- SKILL BIULDIND EXERCISES What Is the Solution For a certain system of two linear equations in two unknowns, the graphs are distinct parallel lines. What can you conclude about the solution of the system of equations?arrow_forwardWriting Consider the system of linear equations in x and y. a1x+b1y=c1a2x+b2y=c2a3x+b3y=c3 Describe the graphs of these three equations in the xy-plane when the system has a exactly one solution, b infinitely many solutions, and c no solution.arrow_forwardSubstitution Method Use the substitution method to find all solutions of the system of equations. {x2+y=9xy+3=0}arrow_forward
- Writing Explain why the system of linear equations in Exercise 87 must be consistent when the constant terms c1,c2,c3 are all zero. Reference: 87. Writing Consider the system of linear equations in x and y. a1x+b1y=c1a2x+b2y=c2a3x+b3y=c3 Describe the graphs of these three equations in the xy-plane when the system has a exactly one solution, b infinitely many solutions, and c no solution.arrow_forwardCAPSTONE Find values of a, b, and c such that the system of linear equations has a exactly one solution, b infinitely many solutions, and c no solution. Explain. x+5y+z=0x+6yz=02x+ay+bz=carrow_forward
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