Please I need help with this one algebra problem ASAP 10 Points will be rewarded.?
Solve each system by substitution.
{ 3a+b=3
{ 2a-5b=-15
(Note: Technically there’s only one large “{” to the left of both problems if thats important at all to know)
Is it possible that there’s a shortcut to this problem?
You know so I combine the a’s to get 5a and combine the b’s to get -4? Maybe not I just thought that might be right…
Favorite Answer
{ 2a-5b=-15
you have to solve for one variable in one equation and then substitute…so, here goes:
3a+b=3, subtract 3a from both sides to get ‘b’ alone
b=3-3a
now substitute into the SECOND equation for ‘b’…
2a-5b =-15, since b= 3-3a, you have
2a-[5(3-3a)]=-15
2a-15+15a=-15, combine like terms
17a-15=-15, add 15 to both sides to get ‘a’ alone
17a=0, divide by 17
a=0
take your answer and substitute it into either equation and you have:
3a+b=3
3(0)+b=3
0+b=3
b= 3
note: you cannot combine like terms as you asked from the start because these are both equations themselves…if there was only 1 equal sign then you would be able to combine like terms… 🙂
hope this helped…
b = 3 – 3a
Substitute for b in the second…
2a -5(3-3a) = -15
2a – 15 + 15a = -15
17a = 0
a = 0.
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