SOLUTION: 7a+6b=197 14a+13b=414 a=? b=?

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Question 993308: 7a+6b=197 14a+13b=414 a=? b=?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
7a + 6b = 197......(1)
14a + 13b = 414 ...(2)
Multiply (1) by 2
14a + 12b = 394....(1)
14a + 13b = 414....(2)
Subtract (1) from (2)
......b = 20
Substitute b = 20 into Equ(1)
7a + 6b = 197
7a + 6(20) = 197
7a + 120 = 197
7a = 197 - 120
7a = 77
a = 11
a = 11, b = 20
Hope this helps :-)