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

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

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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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