Answer:
x = 1 and y = 6
(1, 6)
Step-by-step explanation:
Given system of equations:
1. -2x + y = 4
2. 3x + y = 9
Express y in terms of x from the first equation:
y = 2x + 4
Substitute y into the second equation:
3x + (2x + 4) = 9
Combine like terms:
5x + 4 = 9
Subtract 4 from both sides:
5x = 5
Divide by 5:
x = 1
Substitute x back into the expression for y:
y = 2(1) + 4 = 6
So, the solution to the system of equations is x = 1 and y = 6.
