Which ordered pair represents a solution to both equations?
line one
(-7,0) (3,5)
line two
(-7,4) (7,-3)
answer choices
A: no solution
B:(3,-2)
C:(3,-1)
D:(-3,2)
The solution must be a point that lies on both lines. By plugging in the values for the ordered pairs into the equations for each line, we can see which point is a solution for both.
Line one: y = x + 7
Line two: y = -0.7x + 4.6
Let's test the ordered pairs:
For (-7,0):
Line one: 0 = -7 + 7 -> 0 = 0 (True)
Line two: 0 = -0.7*(-7) + 4.6 -> 0 = 4.9 (False)
For (3,5):
Line one: 5 = 3 + 7 -> 5 = 10 (False)
Line two: 5 = -0.7*3 + 4.6 -> 5 = 2.5 (False)
None of the given ordered pairs are solutions to both equations, so the answer is:
A: no solution
So (-7,4) and (7,-3) are not a solution either.