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Please Help! Hurry! (I have 2 simple questions)

1.) Marcy concludes that the following system of equations has one solution.
y = 3x + 6
y = -2x + 10
Which characteristic of the equations did she use to reach this conclusion?
A. They have different slopes.
B. They have the same two variables.
C. They have y on the same side of the equation.
D. They have the same slope, but different y-intercepts.

2.) Which system of equations has no solution?

A.) x + y = -6
x + y = 12

B.) y= 2x + 5
y= -3x + 1

C.) y = 4x - 8
y = 2x - -4

D.) -5x + y = 7
x + 3y = 5

Respuesta :

Answer:

1) A

2) A

Step-by-step explanation:

1) If they had the same slope, the lines would be parallel and would never intersect. B and C don't really make sense and the y-intercept is not important in determining intersection, so it's A.

2) x + y cannot simultaneously be equal to two things. Elimination results in the statement: 0 = -18 which is not true, and thus the equation has no solutions.

Answer:

they both share the answer of a

Step-by-step explanation:

i took this on Edge 2020 :) hope this helps also give credit to the other person who answered this question :)