Question

Find the solution to each system by the addition (elimination)method.
4s - 5t =18
6s + 10t = -8

I need the steps please.

Answer 1

first, choose which one you want to eliminate,
s or t?
if you eliminate s, you'll get t
if you eliminate t, you'll get s

first, let's eliminate t
to eliminate t, i need to multiplied the first equation by 2
so i have 10t on both equation
4s - 5t =18 multiplied by 2 is 8s - 10t =36

now i can do elimination
8s - 10t =36
6s + 10t = -8
-------------- + (do addition)
8s + 6s -10t + 10t = 36 -8
14s = 28
s = 28/14
s=2

Answer 2

then plug s into one of the equations
4s - 5t =18
4(2)-5t=18
8-5t=18
-5t=10
t=-2

Answer 3

feel free to ask me if there's something you dont understand

Answer 4

the answer I found it says no solution is that right?

Answer 5

no, the solution is s=2 and t=-2

Answer 6

thanks.