Answer:
s=2
Step-by-step explanation:
We are given the equation:
[tex]26-4s=9s[/tex]
and asked to solve. We want to find out what the unknown variable, s, is. Therefore, we must isolate s on one side of the equation.
First, let's get all the terms with s on one side of the equation. 4s is being subtracted from 26. The inverse of subtraction is addition. Add 4s to both sides of the equation.
[tex]26-4s+4s=9s+4s[/tex]
[tex]26=9s+4s[/tex]
[tex]26=13s[/tex]
s is being multiplied by 13. The inverse of multiplication is division. Divide both sides of the equation by 13.
[tex]26/13=13s/13[/tex]
[tex]26/13=s[/tex]
[tex]2=s[/tex]
[tex]s=2[/tex]
Let's check our solution. Plug 2 in for s and solve.
26-4s=9s
26-4(2)=9(2)
26-8=18
18=18
This checks out, so we know our solution is correct.
The solution to the equation 26-4s=9s is s=2.
