Answer:
r = 1
b = 6.25
Explanation:
We can use the given equation to solve for one of the variables in terms of the other, and then substitute that expression into the equation to solve for the other variable.
Starting with the equation:
1.6b + 2r = 10
Subtracting 2r from both sides, we get:
1.6b = 10 - 2r
Dividing both sides by 1.6, we get:
b = (10 - 2r) / 1.6
Now we can substitute this expression for b into the original equation:
1.6b + 2r = 10
1.6[(10 - 2r) / 1.6] + 2r = 10
Simplifying, we get:
10 - 2r + 2r = 10
So, the equation is true for any value of r. Therefore, r can be any number.
To find b, we can use the expression we found earlier:
b = (10 - 2r) / 1.6
For example, if we set r = 1, then:
b = (10 - 2(1)) / 1.6 = 6.25
Therefore, when r = 1, b = 6.25.