9 years watching TV. 28 years spent sleeping.
Work Step by Step
Let $x$ be the number of years spent watching TV. The number of years spent sleeping is then $x+19$. The total number of years sleeping and watching TV is 37, so $x+x+19=37$ Combine like terms. $2x+19=37$ Use the addition property of equality to subtract 19 from both sides of the equation. $2x+19-19=37-19$ Combine like terms. $2x=18$ Use the multiplication property of equality to divide both sides of the equation by 2. $2x\div2=18\div2$ Simplify. $x=9$ 9 years are spent watching TV. $x+19=9+19=28$ years are spent sleeping.