SOLUTION: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answe

Algebra ->  Linear-equations -> SOLUTION: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answe      Log On


   

Question 153946: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 4y = 1
-10x + 8y = -3

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.5x+%96+4y+=+1
2.-10x+%2B+8y+=+-3
Multiply eq. 1 by 2 and add to eq. 2,
2%285x-4y%29%2B%28-10x%2B8y%29=2%281%29%2B%28-3%29
10x-8y-10x%2B8y=-1
0=-1
The system is inconsistent, there is no solution.
.
.
.
Graphically, you see the lines are parallel, hence never meet, no solution.
+graph%28+300%2C+300%2C+-2%2C+2%2C+-2%2C+2%2C+%285x-1%29%2F4%2C%2810x-3%29%2F8%29+