Germany and Austria have a total of 25 states. Germany has 7 more states than Austria has. Create 2

Discussion in 'Calculator Requests' started by math_celebrity, Jun 21, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Germany and Austria have a total of 25 states. Germany has 7 more states than Austria has. Create 2 equations.

    Let g be the number of German states. Let a be the number of Austrian states. We're given two equations:
    1. a + g = 25
    2. g = a + 7
    To solve this system of equations, we substitute equation (2) into equation (1) for g:
    a + (a + 7) = 25

    Combine like terms:
    2a + 7 = 25

    To solve for a, we type this equation into our search engine and we get:
    a = 9

    To solve for g, we plug in a = 9 into equation (2):
    g = 9 + 7
    g = 16
     

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