A few days ago
Anonymous

Please I need help with this one algebra problem ASAP 10 Points will be rewarded.?

Please at least offer a brief explanation if you could and show work- Thank you.

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…

Top 2 Answers
A few days ago
xtcwmeg

Favorite Answer

{3a+b=3

{ 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…

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A few days ago
Anonymous
From the first equation,

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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