Question

Solve each system of equations by using substitution:
Show work and steps of how you did it. #25 I am trying to find the x value

25. x + 4y = -8
3x + 2y = 6

26. 10x - 9y = 15
5x - 4y = 10

27. 3x - 7y = -3
2x + 6y = -34

Answer 1

for each of the equation times it by a -1
then subtract the 2 equations from each other.

Answer 2

I will do one of them, then you do the rest

Answer 3

I mean I have y = 3, I just need to put it into one of the equations; which I need help with

Answer 4

ok, but all of the 3 equations that you have will have seperate x and y values,
so we need to know from which equation did you derive that y=3

Answer 5

#25

Answer 6

ok, so then plug it into equation 25 to get x.
use this to solve for x (x + 4y = -8)

Answer 7

ok

Answer 8

once you get the values x and y make sure that when you input both of them into equation 25 it makes sense. plug them into either equation of #25

Answer 9

I mean plug it in

Answer 10

wait, let me see first if your y is correct

Answer 11

3(-4y -8) + 2y = 6
-12y - 24 + 2y = 6
-10y -24 = 6
add 24 to both sides
-10y = 30
divide by -10y to both sides
y = 3

Answer 12

no, y=-3, your steps are correct but not the last one.

Answer 13

oh sorry I meant to put -3

Answer 14

its all good, yeah thats where maths can play up, lol

Answer 15

okay now can you show me y = -3 being plugged in

Answer 16

ok sure, x+4(-3)=-8
x-12=-8
x=-8+12
x=4

Answer 17

thanks @heedcom I am a visual learner btw. If I don't see it, I won't learn anything.

Answer 18

now check that both the y and the x values are correct by plugging them into the other equation of #25 you should get 6

Answer 19

yep it works

Answer 20

when it comes to maths we are all visual learners
so the same way, you should be able to do the others,
I will remain here, let me know if your stuck

Answer 21

so will you be on my question or others

Answer 22

oh dont worry, i will remain on this question

Answer 23

May I ask you this, is #26 a solution

Answer 24

what do you mean is #26 a solution

Answer 25

can't we a no solution sometimes for substitution

Answer 26

correct, but I would doubt that they would do that, no solution is only when it x or y=0
let me try, wait

Answer 27

@heedcom quick question

Answer 28

found them, both the x and y values.

Answer 29

yes, whats the quick question

Answer 30

The math book says #17 is a no solution:

17. 6x - 3y = 12
2x = 8 - y

Answer 31

ok, wait, let me try

Answer 32

thanks

Answer 33

well it seems like it does, I have just found the y value, but wait I will find x

Answer 34

it does have a solution!!!!!!!!!

Answer 35

I mean I have asked other people is it's a solution or not a solution, and I want to make sure

Answer 36

it is a solution, but you said it was the book that said that, now your saying its other people!!

Answer 37

I have asked people if it was a solution or not a solution

Answer 38

its all good, so are you good with solving them now

Answer 39

i can give you the steps for the second one, but thats all I can, as I have studies to get through

Answer 40

nah don't worry about it

Answer 41

ok, I think you have got it