Answer:
The solution to the system of equations is:
x = 3/2
y = -1
Step-by-step explanation:
Given the pair of equations:
2x - 3y = 6 .....................................................................(1)
2x - 6y = 9 .....................................................................(2)
Subtract equation (1) from (2) to eliminate x
-6y - (-3y)= 9 - 6
-6y + 3y = 3
-3y = 3
Divide both sides by -3
y = -3/3 = -1
Using y = -1 in equation (1)
2x - 3(-1) = 6
2x + 3 = 6
2x = 6 - 3
2x = 3
Divide both sides by 2
x = 3/2