SOLUTION: Solve each of the equations by substitution: 4x-12y=5 -x+3y=-1

Question 82046: Solve each of the equations by substitution:
4x-12y=5
-x+3y=-1
Answer by jayanthihemkos@yahoo.com(87) (Show Source): You can put this solution on YOUR website!
4x-12y=5----------(1)
-x+3y=-1-----------(2)

consider equation (2)
-x + 3y = -1
3y = -1+x
y = -1+x/3 (by transposing)
plugging the value of y in equation (1), we have
4x-12(-1+x/3)=5
4x + 12/3 -12x/3 = 5
4x + 4 - 4x= 5
Since we have +4x and -4x in the above equation, they get cancelled
hence there is no solution for the above equation.
Hence the system is inconsistent
Jayanthi
RELATED QUESTIONS
Solve each of the following systems by substitution. 4x � 12y = 5 -x + 3y =... (answered by fractalier)

Solve each of the following systems by substitution. 4x � 12y = 5 -x + 3y =... (answered by fractalier)

solve each of the following systmes by substitution. 4x-12y=5... (answered by venugopalramana)

Solve each of the following systems by substitution 4x - 12y = 5 -x + 3y = -1 (answered by jim_thompson5910)

Solve each of the following systems by substitution 4x - 12y = 5 -x + 3y = -1 (answered by checkley75)

solve each of the following systems by substitution: 4x-12y=5... (answered by Earlsdon)

Solve each of the following systems by substitution. 4x-12y=5... (answered by jim_thompson5910)

Solve each of the following systems by substitution. 11. 4x � 12y = 5 -x + 3y (answered by jim_thompson5910)