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Jesse Jordan
Mathematics
21 September, 22:49
2a + 3b = 5
b = a - 5
What is a and b?
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Hope Levy
21 September, 22:56
0
Since you have your b term, you can start off by plugging it in where b is in the first equation.
2a + 3 (a-5) = 5
Distribute the 3 to the "a" and - 5.
2a + 3a - 15 = 5
Now you can combine your "a" terms
5a - 15 = 5
Next you want to get the "a" term alone so you can add 15 to both sides.
5a - 15+15 = 5+15
5a = 20
Now divide both sides by 5 to get your "a" value.
5a = 20
/5
a = 4
Now that you have your "a" value, all you have to do is plug your "a" value into either equation. I personally would choose the second equation since it's easier.
b = 4-5
b = - 1
You can go back and check by plugging your answers back into the first equation as well!
2 (4) + 3 (-1) = 5
8 - 3 = 5
5 = 5
a = 4 and b = - 1
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