Identify the solution(s) of the system of equations, if any.

x + 2y = 7

3x - 6y = 3




(4, )



(4, )



(, 4)



(, 4)

1 answer

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).