Asked by allen
Identify the solution(s) of the system of equations, if any.
x + 2y = 7
3x - 6y = 3
(4, )
(4, )
(, 4)
(, 4)
Answers
Answered by
Henry
Eq1: x + 2y = 7
Eq2: 3x - 6y = 3
Multiply Eq1 by -3 and add the Eqs:
-3x - 6y = -21
+3x - 6y = 3
Sum: -12y = -18
Y = -18/-12 = 3/2
In Eq1, replace Y with 3/2 and solve for X:
x + 2*3/2 = 7
X = 7-3 = 4.
Solution: (4, 3/2).
Eq2: 3x - 6y = 3
Multiply Eq1 by -3 and add the Eqs:
-3x - 6y = -21
+3x - 6y = 3
Sum: -12y = -18
Y = -18/-12 = 3/2
In Eq1, replace Y with 3/2 and solve for X:
x + 2*3/2 = 7
X = 7-3 = 4.
Solution: (4, 3/2).
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