Question

solve the system of equations using any method?
2x+5y=14
6x+7y=10

Answer 1

what you have learned from previous problem?
ok lets solve this together

Answer 2

subtract 5y from both sides of equation 1
tell me that you get.

Answer 3

9

Answer 4

try again !!!

Answer 5

-9

Answer 6

ok lets do this
subtract 5y from both sides
2x+5y-5y=14-5y
now +5y and -5y will get cancelled on the left side. it becomes
2x=14-5y
is it ok so far?

Answer 7

yes

Answer 8

ok divide both sides by 2
(2x)/(2)=(14-5y)/2
\[\Large \implies x=\frac{14-5y}{2}\]

now ?

Answer 9

9y divided by 2

Answer 10

how 9y divide /2 can you explain?

it is 14 not 14y that you are subtracting.

Answer 11

oh okay!! now whats next

Answer 12

idk how to do this!! sorry!!

Answer 13

ok there was typo in my response it is 6 not 3 in the second equation the coefficient of x.
correct is below
\[\Large \implies 6((\frac{14-5y}{2})+7y=10\]

six can be divided by 2 to get 3
\[\Large \implies 3(14-5y)+7y=10\]
now can you simplify?

Answer 14

42-15y+7y=10

Answer 15

?? is this coreect?

Answer 16

good!!

Answer 17

now -15y+7y =???

Answer 18

22y

Answer 19

try again !!

Answer 20

-8

Answer 21

correct!!!

Answer 22

now the equation becomes
42-8y=10
solve for y.
(first move 42 to the right sides, then divide by -8)

Answer 23

y=-4

Answer 24

?? is this correct??

Answer 25

it should be +4 not -4

Answer 26

because
-8y=-32
y=4

Answer 27

now put this in any of the given equations to get x

Answer 28

Multiply the first equation by 3, then set 6x = 6x

Answer 29

@broderick365 did you find x?

Answer 30

2(4)+5y=14
8x+5y=14
-5y --5
8x =9 this is where i stopped

Answer 31

?? @sami-21

Answer 32

use y=4 !
2x+5(4)=14
now find x.

Answer 33

2x+5(4)=14
2x+20=14
-20 -20
2x =34 is th right so far??

Answer 34

@sami-21 ??

Answer 35

no it is not.
try again.
it is correct till
2x+20=14
move from here try subtracting 20 from both sides then divide by 2

Answer 36

i did i got -5

Answer 37

2x+20-20=14-20
+20 and -20 get cancelled on the left side you are left with

2x=14-20

now try.

Answer 38

2x=5

Answer 39

14-20 ????

Answer 40

ohhhhhhh 6 my bad -6!!

Answer 41

ok
now you have
2x=-6
so what is x ?

Answer 42

-3

Answer 43

yes