Układ równań metodą podstawiania i przeciwnych współczynników: 5x-y=2 x+3y=-4 Proszę o pomoc :) I jeszcze jeden układ równań: y=6x +26 5x=7y+3
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1.
Metoda podstawiania:
-y = 2-5x /:(-1)
x = -4 -3y
y = -2 + 5x
x = -4-3y ===> x = -4 - 3(-2+5x)
x = -4 + 6 - 15x
x + 15x = 2
16x = 2 /:16
x = 1/8
y = -2 + 5 * 1/8
y = -2 +5/8
y = -16/8 + 5/8
y = -11/8
Metoda podstawiania:
-y = 2-5x
x = -4 -3y
5x = 2 + y / *3
x = -4 - 3y
15x = 6 + 3y
x = -4 -3y
----------------
16x = 2 /:16
x = 2/16
x = 1/8
x = -4 -3y
1/8 = -4 - 3y
3y = -4 - 1/8
3y = - 32/8 - 1/8
3y = -33/8 /:3
y = -11/8
spr. 5x-y = 2 x+3y = -4
5*(1/8) - (-11/8) = 2 1/8 + 3 * (-11/8) = -4
5/8 + 11/8 = 2 1/8 + 33/8 = -4
16/2 = 2 -32/8 = -4
2=2 -4 = -4
L=P L=P
2.
Metoda podstawiania:
y = 6x+26
5x = 7y+3 ===> 5x = 7(6x+26) +3
5x = 42 x + 182 +3
5x -42x = 185
-37x = 185 /: (-37)
x = -5
y = 6*(-5) + 26
y = -4
Metoda przec. współczynników:
y = 6x+26
5x = 7y+3
-6x = 26 - y /*7
5x = 3 + 7y
-42x = 182 -7y
5x = 3 + 7y
-----------------
-37x = 185 /:(-37)
x= -5
y = 6x+26
y= 6*(-5) + 26
y= -30 + 26
y= -4
spr. y = 6x+26 5x = 7y+3
-4 = 6(-5) +26 5 * (-5) = 7 *(-4) +3
-4 = -30 +26 -25 = -28 + 3
-4 = -4 -25 = -25
L=P L=P