On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same? Men: Women: -231x+2y=60,623 - 830x + 3y = 49,894 The median income of men and women will be the same in the year

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter3: Linear And Nonlinear Functions
Section3.4: Slope-intercept Form
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On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the
equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain
valid in the future, in what year will the median income of men and women be the same?
Men:
Women:
-231x+2y=60,623
- 830x + 3y = 49,894
The median income of men and women will be the same in the year
Transcribed Image Text:On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same? Men: Women: -231x+2y=60,623 - 830x + 3y = 49,894 The median income of men and women will be the same in the year
Expert Solution
Step 1

To find the year in which the median income of men and women will be the same, we can set the two equations equal to each other and solve for x:

231x + 2y = 60,623

830x + 3y = 49,894

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