SOLUTION: How many solutions does the following system have: 6x - 3y = 9 2x - y = 3 Explain how to determine the number of solutions without solving the system. Then apply elimination,

Algebra ->  Linear-equations -> SOLUTION: How many solutions does the following system have: 6x - 3y = 9 2x - y = 3 Explain how to determine the number of solutions without solving the system. Then apply elimination,      Log On


   



Question 740774: How many solutions does the following system have:
6x - 3y = 9
2x - y = 3
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting equation.
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Question 4
How many solutions does the following system have:
4x + 8y = 16
3x + 6y = 9
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
How many solutions does the following system have:
6x - 3y = 9
a1x+b1y=c1
2x - y = 3
a2x+b2y=c2
if a1%2Fb1=a2%2Fb2but not equal to c1/c2 lines are parallel. No solution

if a1%2Fb1=a2%2Fb2=+c1%2Fc2 then the lines coincide. hence innumerable solutions.
if a1%2Fb1%3Cnot+equal+to%3E+a2%2Fb2 then the lines intersect. one solution
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting equation.
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Question 4
How many solutions does the following system have:
4x + 8y = 16
3x + 6y = 9
4/8 =3/6 16/9 so lines are parallel no solution
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression.