SOLUTION: solve the system of equations by the substitution method to get an ordered pair y=2x+7 y=9x+8

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Question 854648: solve the system of equations by the substitution method to get an ordered pair
y=2x+7
y=9x+8
Found 2 solutions by aditya2117, MathTherapy:
Answer by aditya2117(32)   (Show Source): You can put this solution on YOUR website!
y=2x+7 ...................................................... (1)
y=9x+8 ...................................................... (2)
From (1),
x= (y-7)/2
Substituting value of x in eqn (2) we get,
y= 9.(y-7)/2 + 8
y = (9y-63+18)/2
2y=9y-45
9y-2y=45
7y=45
y=45/7
x=(45/7-7)/2=45-49/14=-4/14=-2/7
Reqd. Soln. : x = -2/7
y = 45/7
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

solve the system of equations by the substitution method to get an ordered pair
y=2x+7
y=9x+8


y = 2x + 7 ------ eq (i)

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

2x + 7 = 9x + 8 ------ Substituting 2x + 7 for y in eq (ii)

Solve for x, then substitute that value for x in any of the 2 equations to determine the value of y.

You can do the check!! 



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