SOLUTION: Can you help me solve: 3b-a=-7 5a+6b=14

Question 134802This question is from textbook Algebra 1 workbook
: Can you help me solve:
3b-a=-7
5a+6b=14 This question is from textbook Algebra 1 workbook

Found 2 solutions by josmiceli, algebrapro18:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

First get them both in the order first, second

Multiply the 1st equation by 5 and add the equations

answer

answer
check:

OK
Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
You would solve this problem using substitution. The steps for substitution are:

1) Solve one of the equation for an isolated variable.
2) Plug in step 1 into the remaining equation and solve for the one variable.
3) Plug in step 2 into step one and find what the isolated variable is.
---------------------------------------------------------------------------------

3b - a = -7
5a + 6b = 14

Since 3b - a = -7 has a variable alone we will solve this equation for a.

3b - a = -7
-a = -7 - 3b
a = 7 + 3b

now plug that into 5a + 6b = 14 and solve for b.

5a + 6b = 14 --> Plug in a = 7 + 3b into the second equation
5(7 + 3b) + 3b = 14 --> Distribute the 5 though
35 + 15b + 3b = 14 --> Combine like terms
35 + 18b = 14 --> Subtract 35 from both sides
18b = -21 --> Divide both sides by 18
b = -7/6

Now we plug b = -7/6 into a = 7 + 3b and solve for a.

a = 7 + 3b
a = 7 + 3(-7/6)
a = 7 - 7/2
a = 7/2

so your solution is a = 7/2 and b = -7/6.
RELATED QUESTIONS
Can you help me solve this problem? 5a + 6b +... (answered by tutorcecilia)
will you help me solve this equation? -6b + 9 + 4b = -3b... (answered by stanbon)
6b+14=-7+-1b Can you help me to solve this problem?... (answered by jim_thompson5910)
Find the solution to the system of equations 3b-a=-7... (answered by oscargut)
Is this correct? If not can you guide me through it? Divide 45a^6b^10 over 5a^3b^2.... (answered by scott8148)
Can you please help me solve using the elimination method? a + 3b = 26 2a - 3b =... (answered by 303795)
please help me solve this... (answered by richwmiller)
Solve using the elimination method 10a+6b=8 5a+3b=2 (answered by ewatrrr)
please help me solve 2/A =... (answered by checkley77)