SOLUTION: Solve the system of equations by using the substitution method. {y= 4x +1 {2y � 3x= 12 Select the correct choice below and, if necessary, fill in the answer box to complete yo

Question 484171: Solve the system of equations by using the substitution method.
{y= 4x +1
{2y � 3x= 12
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. The solution is ? (simplify your answer. Type an ordered pair).
b. There are infinitely many solutions
c. There is no solution

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
-4 x + 1 y = 1 .............1
2 y = 12 + 3 x ---------2
/ 2 =
y = 6 + 1.5 x
Substitute y in (1)
-4 x + 1 ( 6 + 1.5 x ) = 1
-4 x + 6 + 1.5 x = 1
-4 x + 1.5 x = 1 -6
-2.5 x = -5
/ -2.5
x= 2
Plug the value of x in (1)
-4 x + 1 y = 1
-4 * 2 + 1 y = 1
-8 + 1 y = 1
1 y = 9
/ 1
y= 9
(2,9)
m.ananth@hotmail.ca

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