Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.

Question

-3x + 6y = -3 / -6x + 4y = -10

Answer 1

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).