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In Mathematics / High School | 2014-04-30

From the equations [tex]7a = 4[/tex] and [tex]7a + 4b = 12[/tex], one can conclude that [tex]b[/tex] is?

Please explain the work behind the solution.

Asked by Signe74

Answer (3)

if 7a=4 then 7a+4b=12 is equal to 4+4b=12 4-4+4b=12-4 4b=8 4b/4=8/4 b=2

Answered by runescapememo8 | 2024-06-10

7a=4 7a+4b=12 you substitute 4 in for 7a because it tells you in the first equation that 7a=4 4+4b=12 next you subtract 4 from each side 4b=8 next you divide 4 from each side b=2 and theres your answer

Answered by kbelle2336 | 2024-06-10

By solving the first equation, we find a = 7 4 ​ . Substituting this into the second equation allows us to isolate and solve for b , resulting in b = 2 . Therefore, the value of b is 2.
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Answered by Anonymous | 2024-10-10