Respuesta :
Answer:
(143/74, -65/148)
Step-by-step explanation:
We have the equations:
4x - 12y = 13
14x + 32y = 13
Let's use elimination, so multiply the first equation by 8 and the second equation by 3:
8 * (4x - 12y = 13) ⇒ 32x - 96y = 104
3 * (14x + 32y = 13) ⇒ 42x + 96y = 39
Add those two equations:
32x - 96y = 104
+ 42x + 96y = 39
________________
74x + 0y = 143
Divide both sides by 74:
x = 143/74
Plug this into an equation to find y:
4x - 12y = 13
4 * (143/74) - 12y = 13
12y = 572/74 - 13 = -390/74
y = -65/148
The answer is (143/74, -65/148).
Answer:
x = 143/74
y = -65/148
Step-by-step explanation:
4x-12y= 13
4x = 13 + 12y
x = 13/4 + 3y
32y+14x=13
32y + 14(13/4 + 3y) = 13
32y + 91/2 + 42y = 13
74y = 13 - 91/2
74y = -65/2
y = -65/148
x = 13/4 + 3(-65/148)
x = 143/74
x = 143/74
y = -65/148