To determine which quadrant the solution of the system falls, we can solve the system of equations:
x + y = 4 ...(1)
2x - y = 2 ...(2)
We can solve this system of equations by using the method of substitution or elimination. For simplicity, let's use the elimination method.
Adding equations (1) and (2) together, we get:
(x + y) + (2x - y) = 4 + 2
3x = 6
x = 2
Substituting x = 2 back into equation (1), we have:
2 + y = 4
y = 4 - 2
y = 2
Therefore, the solution of the system is x = 2 and y = 2.
The coordinates (2, 2) fall in the first quadrant, so the solution of the system falls in the first quadrant.
Therefore, the answer is: a. l
In which quadrant does the solution of the system fall?
x+y=4
2x-y=2
a. l
b. ll
c. lll
d. lV
1 answer