Question

Solve the system of equations.

5x - 3y = 8

2x + 4y = -2


a.x= -3,y= 1
b.x= 4,y= 4
c.x= 1,y= -1
d.x= 2,y= -3

Answer 1

have you tried anything?

Answer 2

i think it is b, but i am not 100% sure

Answer 3

what makes you think it's b?

Answer 4

did you work it out?

Answer 5

what did you do first?

Answer 6

well the way i was doing it was subtracting, i did it in my head so i really don't think i am correct at all. i never really was taught how to do system of equations, so thats what i need help with the most

Answer 7

Multiply first equation by 2 and show me what you get..

Answer 8

10x-6y=16

Answer 9

Yes..

Now multiply the second equation by 5 and let us see what you got..

Answer 10

10x+20y=-10

Answer 11

YES...

Now can you subtract both the equations??

Answer 12

14y=6

Answer 13

NO..

There is a minus mistake..

10x - 6y = 16
10x + 20y = -10

On subtracting, 10x and 10x will cancel..

-6y - (+20y) = 16 - (-10)


Getting??

Answer 14

so would it be -26=6? im not understanding this final part

Answer 15

No..

What you get if you multiply - by - ??

Answer 16

a positive

Answer 17

Right..

Then,

16 - (-10) =??

Just mutiply - to -10 and see what you will get..

Answer 18

so do i multiply -6(20)

Answer 19

See you are getting confused..

-6y - (20y) = 16 - (-10)



This is the final equation..

Now firstly solve for Left Hand Side..

-6y - (20y) = ??

Tell me..

Answer 20

-26y=26

Answer 21

Yes now you got it..

Now divide by -26 both the sides and find y..

Answer 22

1,-1? so c?

Answer 23

Have faith..
You are right...

Answer 24

Thank you so much! i appriciate all of your help. i really do

Answer 25

Welcome dear..