Question

Solve the following system using the substitution method.

x + 6y = -5
2x - 9y = -17

Answer 1

it's a knowledge thing in a lesson. the before the actual assignment. i'm not good with math. i need help. can someone explain?

Answer 2

No need to post answer choices for this one.

Answer 3

alright hero, sorry

Answer 4

alrigh becca this is the same as the other one

Answer 5

So to solve by substitution, first isolate one of the variables. Which variable do you think would be most appropriate to isolate @beccaboo333

Answer 6

the x ones?

Answer 7

x+6y=-5
-6y -6y x=-6y-5 2(-6y-5)-9y=-17

Answer 8

what what?

Answer 9

look the 6y go down in transfort into a - just to moved to the other side

Answer 10

what? im sorry. i literally do not understand this..

Answer 11

u basically want to get a variable alone on one side and then substitute whatever its equal to into the other equation to get your answer is what hes trying to show

Answer 12

so he took x=-6y-5 and substitute it into the other equation wherever their was a x present so you could then solve because their would only be 1 variable

Answer 13

uhm, still.. what?

Answer 14

so he took the equation x+6y=-5 he added 6y to both sides to get the x alone on the left x=-6y-5 so its sayin x is equal to -6y-5
you then take the other equation 2x-9y= -17 and wherever you see an x u replace it with your equatrion
so then its 2(-6y-5)-9y=-17
by doing so u can then solve for y
you distribute the 2 giving you -12y-10 -9y=-17
combine like terms
u get -21y-10=-17 then add 10 to both sides giving u
-21y=-7
divide by 21 so u get y=7/21 that simplifies to 1/3
finally u plug y into either original equation(whichever is easier) to solve for x
so u get x+6(1/3)=-5
u multiply 6/1*1/3 so u get x+2/1=-5
2/1= 2 so its
x+2=-5
subtract 2 on both sides giving u x= -7
your final answer is
y=1/3
x= -7

Answer 15

explained every step hopefully u get it now

Answer 16

omg.. i love you so much. thank you!!

Answer 17

So U understand it now? cuz if not maybe i can explain it some other way

Answer 18

it's \[-7 1/3 \]

Answer 19

there's supposed to be a space

Answer 20

but yes i do

Answer 21

oops srry but the steps should be the same

Answer 22

so -7 and 1/3?

Answer 23

it should be not 2 sure what u ment by -71/3

Answer 24

nothing. thanks!

Answer 25

okay no problem glad 2 help

Answer 26

is A BECCA

Answer 27

wait noo it was B SOORRYY

Answer 28

@beccaboo333