Question

Solve the following system of equations for the unknown variables. a + b = 7 ,a + c = 12,b + c = 15

Answer 1

(2, 5, 10)

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Given system of equations:

• a + b = 7
• a + c = 12
• b + c = 15

Add up the three equations to get:

• 2a + 2b + 2c = 7 + 12 + 15
• 2(a + b + c) = 34
• a + b + c = 17

Now find each variable by the difference of this equation with initial equations:

• c = 17 - 7 = 10
• b = 17 - 12 = 5
• a = 17 - 15 = 2

So the solution is (2, 5, 10).