Question

Use elimination to solve the system. What is the value of y?
3x + 5y = 16 and 8x - 5y =28

Answer 1

Add the two equations to get


3x + 5y = 16
8x - 5y =28
------------
11x+0y = 44


So 11x = 44


Now solve for x


11x = 44

11x/11 = 44/11

x = 4


From here, use this x value in either equation to find y. I'm going to pick on the first equation


3x + 5y = 16

3(4) + 5y = 16 ... Plug in x = 4

12 + 5y = 16

5y = 16 - 12

5y = 4

y = 4/5


So the value of y is 4/5

Answer 2

Hopefully that gives you a pretty good idea of how elimination works so you can use it to solve other similar problems.

Answer 3

but my options are:
4
-6
0.8
5

Answer 4

Using a calculator, or by performing long division, \[\Large \frac{4}{5} = 0.8\]

Answer 5

So y = 0.8 as well (along with y = 4/5)

Answer 6

thank you

Answer 7

yw