The only option where both equations result in the same y-value of 37 for both x-values is x = 1 and x = 3.
The equations y = 2x + 1 and y = 37 will be equal only when their solutions for y are the same. Therefore, you need to find the x-values for which both equations result in the same y-value of 37.
Let's analyze each option:
x = 1 and x = 3:
Substituting x = 1 in both equations:
y = 2(1) + 1 = 3 (not equal to 37)
y = 37 (equal to 37)
Substituting x = 3 in both equations:
y = 2(3) + 1 = 7 (not equal to 37)
y = 37 (equal to 37)
x = 0 and x = 1:
Substituting x = 0 in both equations:
y = 2(0) + 1 = 1 (not equal to 37)
y = 37 (not equal to 37)
Substituting x = 1 in both equations:
y = 2(1) + 1 = 3 (not equal to 37)
y = 37 (equal to 37)
x = 1 and x = -1:
Substituting x = 1 in both equations:
y = 2(1) + 1 = 3 (not equal to 37)
y = 37 (equal to 37)
Substituting x = -1 in both equations:
y = 2(-1) + 1 = -1 (not equal to 37)
y = 37 (not equal to 37)
x = 2 and x = 3:
Substituting x = 2 in both equations:
y = 2(2) + 1 = 5 (not equal to 37)
y = 37 (not equal to 37)
Substituting x = 3 in both equations:
y = 2(3) + 1 = 7 (not equal to 37)
y = 37 (equal to 37)
Therefore, the only option where both equations result in the same y-value of 37 for both x-values is x = 1 and x = 3.