SOLUTION: Determine whether each system of linear equations has a) one and only one solution, b) infinitely many solutions, or c) no solution. Find all solutions whenever they exist.
2x-4y=
Algebra.Com
Question 539738: Determine whether each system of linear equations has a) one and only one solution, b) infinitely many solutions, or c) no solution. Find all solutions whenever they exist.
2x-4y=5
3x+2y=6
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
2 x -4 y = 5 .............1
3 x + 2 y = 6 .............2
Eliminate y
multiply (1)by 1
Multiply (2) by 2
2 x -4 y = 5
6 x + 4 y = 12
Add the two equations
8 x = 17
/ 8
x = 2.13
plug value of x in (1)
2 x + -4 y = 5
4.25 + -4 y = 5
-4 y = 5 -4.25
-4 y = 0.75
y = -0.19
They have only one solution ( 2.13,-0.19)
RELATED QUESTIONS
determine whether each system of linear equations has a) one and only one solution b)... (answered by josgarithmetic,ikleyn)
determine whether each system of linear equations has a) one and only one solution b)... (answered by josgarithmetic)
Determine whether each system of linear equations has (a) one and only one solution, (b)... (answered by stanbon)
Determine whether the system of linear equations has one and only one solution,... (answered by stanbon)
Determine whether the system of linear equations has (a) one and only one solution, (b)... (answered by solver91311)
Determine whether the system of linear equations has one and only one solution,... (answered by mananth)
Determine whether they system of linear equations has one and only one solution,... (answered by stanbon)
Determine whether the system of linear equations has one and only one solution,... (answered by Fombitz)
Determine whether the system of linear equations has one and only one solution,... (answered by ewatrrr)