[tex]\text{You're solving the equations:}\\\\4r - 5 = 17\\ 12 - 2s = 2\\\\\text{Solve for r:}\\\\4r-5=17\\\\\text{add 5 to both sides}\\\\4r=22\\\\\text{Divide both sides by 4}\\\\\boxed{r=5.5}\\\\\text{Solve for s:}\\\\12 - 2s = 2\\\\\text{Subtract 12 from both sides}\\\\-2s=-10\\\\\text{Divide both sides by -2}\\\\[/tex]
[tex]\boxed{s=5}[/tex]
An equation is formed when two equal expressions. The product of r and s is 27.5.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation 4r - 5 = 17 can be solved for r as shown below,
4r - 5 = 17
Add 5 on both the sides of the equation,
4r - 5 + 5 = 17 + 5
4r = 22
Divide both the sides of the equation by 4,
4r / 4 = 22 / 4
r = 11/2
r = 5.5
The given equation 12 - 2s = 2 can be solved for s as shown below,
12 - 2s = 2
Subtract 12 from both the sides of the equation,
12 - 2s - 12 = 2 - 12
-2s = -10
Divide both the sides of the equation by -2,
-2s/-2 = -10/-2
s = 5
Now, the product of r and s can be written as,
r × s
= 5.5 × 5
= 27.5
Hence, the product of r and s is 27.5.
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