SOLUTION: Solve the system of equations by using substitution. Express the answer as an ordered pair: x-5y=2 9x+8=15y

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Question 1030611: Solve the system of equations by using substitution. Express the answer as an ordered pair:
x-5y=2
9x+8=15y
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
1 x + -5 y = 2 .............1
-5 y = 2 + -1 x
/ -5 =
y = - 2/5 + 1/5 x
9 x + -15 y = -8 .....................2
Substitute y in (2)
9 x + -15 ( - 2/5 + 1/5 x ) = -8
9 x + 6 + -3 x = -8
9 x -3 x = -14
6 x = -14
/ 6
x= -2 1/3
Plug the value of x in (1)
1 x + -5 y = 2
1 * -2 1/3 + -5 y = 2
-2 1/3 + -5 y = 2
-5 y = 4 1/3
/ -5
y= - 7/8
m.ananth@hotmail.ca


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve the system of equations by using substitution. Express the answer as an ordered pair:
x-5y=2
9x+8=15y
x - 5y = 2______x = 2 + 5y -------- eq (i)

9x + 8 = 15y -------- eq (ii)

9(2 + 5y) + 8 = 15y --------- Substituting 2 + 5y for x in eq (ii)

18 + 45y + 8= 15y

45y - 15y = - 26

30y = - 26





 ------- Substituting  for y in eq (i)



 

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