Respuesta :
Answer:
B) (-2, 5)
Step-by-step explanation:
Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.
Trying the points
A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14
B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true
C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14
D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2
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Choice B ( -2, 5) is the only point that works in both equations.
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Answer:
x = -2
y = 5
then:
B) (-2,5)
Step-by-step explanation:
3x + 4y = 14
x = 2y - 12
from te firs equation:
3x = 14 - 4y
x = (14-4y)/3
then:
2y - 12 = (14-4y)/3
3(2y-12) = 14 - 4y
3*2y + 3*-12 = 14 - 4y
6y - 36 = -4y + 14
6y + 4y = 14 + 36
10y = 50
y = 50/10
y = 5
from the second equation:
x = 2y - 12
x = 2*5 - 12
x = 10 - 12
x = -2
Check:
from the first equatión:
3x + 4y = 14
3*-2 + 4*5 = 14
-6 + 20 = 14