algebra
posted by Jackster .
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
3x + 6y = 3 / 6x + 4y = 10

Eq1: 3X + 6Y = 3
Eq2: 6X + 4Y = 10
Multiply Eq1 by 2 and add the Eqs:
6X  12Y = 6
6X + 4Y = 10
Sum: 8Y = 4.
Y = 1/2.
Substitute 1/2 for Y IN Eq1
3X + 3 = 3,
3X = 6,
X = 2.
Solution Set = (2, 1/2).