Final answer:
To find the values of m and n given m+n=10, substitute the expressions for m and n into the equation. Simplify the equation to obtain a relationship between a and y.
Step-by-step explanation:
To find the values of m and n given that m + n = 10, we can use the given equations m = 3a + 5 and n = 1 + 2y.
Substituting the expressions for m and n into the equation m + n = 10, we get:
(3a + 5) + (1 + 2y) = 10
Simplifying the equation, we have:
3a + 2y + 6 = 10
Subtracting 6 from both sides of the equation:
3a + 2y = 4
This is the simplified form of the equation that relates a and y given the condition that m + n = 10.