Given the two linear equations 4r - 5 = 17 and 12 - 2s = 2, what is the product of r and s?
r = 11/2
s = 5
rs = 55/2
27.5
To find the product of r and s, we first need to solve the given linear equations and find the values of r and s.
Let's start with the first equation: 4r - 5 = 17
To solve for r, we'll isolate the variable by performing the necessary operations. We'll begin by adding 5 to both sides of the equation:
4r - 5 + 5 = 17 + 5
4r = 22
Next, we'll divide both sides of the equation by 4 to find the value of r:
4r / 4 = 22 / 4
r = 5.5
Now, let's move on to the second equation: 12 - 2s = 2
Similarly, we'll isolate the variable s by performing the necessary operations. We'll start by subtracting 12 from both sides of the equation:
12 - 2s - 12 = 2 - 12
-2s = -10
Next, we'll divide both sides of the equation by -2 to find the value of s:
(-2s) / -2 = (-10) / -2
s = 5
Now that we have the values of r and s, we can find their product:
r * s = 5.5 * 5
r * s = 27.5
Therefore, the product of r and s is 27.5.