Please show your work According to projections through the y

Please show your work

According to projections through the year 2030, the population y of the given state in year x is approximated by State A: -7x + y = 11, 200 State B: - 137x + y = 8,000 where x = 0 corresponds to the year 2000 and y is in theusands. In what year do the two states have the same population? The two states will have the same population in the year. (Round to the nearest year as needed.)

Solution

Given

    -7x + y = 11200 ----------------1

-137x + y = 8000  --------------------2

solving 1 and 2 equations as eq 1 - eq 2

-7x + y +137x - y = 11200 - 8000

130x = 3200

x = 24.61

approximately 25

The equations of both lines have the same y value at this x value.

The states will have the same population in the year 2025.