To determine in which quadrant the solution falls, we can first solve the system of equations using the method of substitution or elimination:
1) x + y = 4
2) 2x - y = 2
Solving equation (2) for y, we get:
y = 2x - 2
Substituting this expression for y into equation (1), we have:
x + (2x - 2) = 4
3x - 2 = 4
3x = 4 + 2
3x = 6
x = 6/3
x = 2
Substituting this value of x back into equation (1), we find:
2 + y = 4
y = 4 - 2
y = 2
Thus, the solution to the system of equations is x = 2 and y = 2.
To determine the quadrant, we look at the signs of x and y. In this case, both x and y are positive, so the solution falls into the first quadrant.
Therefore, the answer is: A. I
In which quadrant does the solution of the system fall?
x+y=4
2x - y=2
A. I
B. II
C. III
D. IV
1 answer
1 answer