Checking Solutions in Exercises 7-10, determine whether each ordered triple is a solution of the system of equations.
(a)
(c)
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College Algebra
- 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_forwardNumber of Solutions. In Exercises 63-66, state why the system of equations must have at least one solution. Then solve the system and determine whether it has exactly one solution or infinitely many solutions. 5x+5yz=010x+5y+2z=05x+15y9z=0arrow_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_forward
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