The data can be modeled by the following system of linear equations. Equation 1 Equation 2 - 5x + 30y = 160 x + 4y = 176 Equation 1 is modeled for the percentage of never-married American adults, y, x years after 1970 and Equation 2 is modeled for the percentage of married American adults, y, x years after 1970. Use these models to complete parts a and b. a. Determine the year, rounded to the nearest year, when the percentage of never-married adults will be the same as the percentage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest percent, will belong to each group? In year approximately the percentage of never-married adults will be the same as the percentage of married adults. For that year, % percentage of Americans will belong to each group.

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The data can be modeled by the following system of linear equations.
- 5x + 30y = 160
Equation 1
x + 4y = 176
Equation 2
Equation 1 is modeled for the percentage of never-married American adults, y, x years after 1970 and Equation 2 is
modeled for the percentage of married American adults, y, x years after 1970. Use these models to complete parts a
and b.
a. Determine the year, rounded to the nearest year, when the percentage of never-married adults will be the same as
the percentage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest
percent, will belong to each group?
In year the percentage of never-married adults will be the same as the percentage of married adults. For that year,
approximately % percentage of Americans will belong to each group.
Transcribed Image Text:The data can be modeled by the following system of linear equations. - 5x + 30y = 160 Equation 1 x + 4y = 176 Equation 2 Equation 1 is modeled for the percentage of never-married American adults, y, x years after 1970 and Equation 2 is modeled for the percentage of married American adults, y, x years after 1970. Use these models to complete parts a and b. a. Determine the year, rounded to the nearest year, when the percentage of never-married adults will be the same as the percentage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest percent, will belong to each group? In year the percentage of never-married adults will be the same as the percentage of married adults. For that year, approximately % percentage of Americans will belong to each group.
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