Solve the problem using a system of equations.

The estimated resident populations (in percent) of young people (age 14 and under) and seniors (age 65 and over) in the United States for the years 2015–2050 are modeled by the following linear functions.

y₁ = -0.04x + 19.3 Young people

y₂ = 0.17x + 16.4 Seniors

In each case, x represents the number of years since 2015.

(a) Solve the system to find the year when these population percents will be equal.

(b) What percent, to the nearest tenth, of the U.S. resident population will be young people or seniors in the year found in part (a)? Answer may vary due to rounding.

(c) Use a calculator graph of the system to support the algebraic solution.

(d) Which population is increasing?