Solve the system of linear equations using linear combination. 3a + 6b = 45 2a – 2b = –12 Which is the solution to the system
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Answer: The answer is (1,7).
Explanation: I got the answer from tiger-algebra.com.
Here's what it says:
// Solve equation [2] for the variable a
[2] 2a = 2b - 12
[2] a = b - 6
// Plug this in for variable a in equation [1]
[1] 3•(b -6) + 6b = 45
[1] 9b = 63
// Solve equation [1] for the variable b
[1] 9b = 63
[1] b = 7
// By now we know this much :
a = b-6
b = 7
// Use the b value to solve for a
a = (7)-6 = 1
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