Question

x + 4y = 1
2x +y =-5

3x+5y=15
2x-3y=-9

5x + 2y = 1
- 3x + 3y = 5

Metido de igualación​

Answer 1

Explicación paso a paso:

Sistema I

x+4y=1

2x+y=-5

x=1-4y x=-5-y/2 x+4y=1 Comprobación

x+4(1)=1 x+4y=1

1-4y=-5-y/2 x+4=1 -3+4(1)=1

2(1-4y)= -5-y x=1-4 -3+4=1

2-8y= -5-y x=-3 1=1

-8y+y= -5-2

-7y=-7 2x+y=-5

(-1)-7y=-7(-1) 2(-3)+1=-5

7y=7 -6+1=-5

y=7/7 -5=-5

y=1

Sistema II

3x+5y=15

2x-3y=-9

x=15-5y/3 x=-9+3y/2

3x+5y=15 Comprobación

15-5y/3=-9+3y/2 3x+5(3)=15 3x+5y=15

2(15-5y)=3(-9+3y) 3x+15=15 3(0)+5(3)=15

30-10y= -27+9y 3x=15-15 0+15=15

-10y-9y=-27-30 3x=0 15=15

-19y=-57 x=0/3

(-1)-19y=(-1)-57 x=0 2x-3y=-9

19y=57 2(0)-3(3)=-9

y=57/19 0-9=-9

y=3 -9=-9