Solving a Linear System Solve the system of linear equations.
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College Algebra
- Substitution Method Use the substitution method to find all solutions of the system of equations. {x2+y=9xy+3=0}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_forwardSubstitutions method Use the substitution method to find all solutions of the system of equations. {y=x2y=x+12}arrow_forward
- Solve the system of equations: {2x2y+3z=64x3y+2z=02x+3y7z=1 .arrow_forwardSolving a system of equation in three variables Find the complete solution of the linear system, or show that it is inconsistent. {2x+4z=12x+y+2z=14x2y=0}arrow_forwardDetermine the values of k such that the system of linear equations does not have a unique solution. x+y+kz=3x+ky+z=2kx+y+z=1arrow_forward
- Elimination method Use the elimination method to find all solutions of the system of equations. {3x+y=15x+2y=1}arrow_forwardIn a system of linear equations, the two equations have the same intercepts. Describe the possible solutions to the system.arrow_forwardUse a software program or a graphing utility to solve the system of linear equations. 0.2x2.3y+1.4z0.55w=110.63.4x+1.3y1.7z+0.45w=65.40.5x4.9y+1.1z1.6w=166.20.6x+2.8y3.4z+0.3w=189.6arrow_forward
- In a system of linear equations, the two equations have the same slope. Describe the possible solutions to the system.arrow_forwardSKILL 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_forward
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