Question

Will mark BRAINIEST if you answer all the questions!1)Which ordered pair is the solution to this system of equations?

{x+5y=−15y=15x+1



(−8, −1.2)
(−7, −0.4)
(−5, −2)
(−10, −1)
2)What is the solution to this system of equations?

{x+y=6x=y+2



(2, 4)
(6, 4)
(4, 2)
(3, 3)
3)What is the solution to this system of equations using the linear combination method?

{3x+y=42x+y=7



(−3, 12)
(−3, 13)
(−1, 7)
(0, 4)
4)What is the solution to this system of equations?

{−2x+6y=−383x−4y=32



(4, −5)
(−4, −5)
(−5, 4)
(1, −6)
5)What is the solution to this system of equations?

2x+y−z=−35x−2y+2z=243x−z=5



(−1, 0, −8)
(4, 1, 8)
(2, −6, 1)
(−5, 4, −3)

Answer 1

Step-by-step explanation:

x+y=6

x=y+2

substitute value of y from 2nd equation into 1st equation

y+2+y=6

2y=4

y=2

x=4

(4,2) is solution

3x+y=4

2x+y=7

subtracting 2nd equation from1st equation

x = -3

y=13

(-3,13) is solution

−2x+6y=−38

3x−4y=32

2*eq1 + 3*eq2

=> 5x = 20

x =4

y=-5

(4, −5) is solution

2x+y−z=−3

5x−2y+2z=24

3x−z=5

z = 3x-5 putting in first two equation

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

-x+y =-8 eqa

5x -2y +2(3x-5) =24

11x -2y = 34. eqb

2*eqa + eqb

9x = 18

x=2

y=-6

z=1

(2, −6, 1) is solution

Answer 2

Answer:

K12 here

Step-by-step explanation: