Solve the system of linear equations using the substitution method.

Question

7a=6-b

7a=2-b

 

Then select the correct choice below:

 

a) There is one solution. The solution is ????

b) There are infinitely many solutions

c) There are no solutions.

Answer 1

7a=6-b

7a=2-b

the simplest thing to do is set both right sides equal to each other because they both equal 7a

6-b=2-b

6-b+b=2-b+b

6=2 is a false statement, therefore there are no solutions, part c)

if you have to use a or b do the following...

7a-6=-b                  7a-2=-b

-7a+6=b                -7a+2=b

-7a+6=-7a+2

-7a+7a+6=-7a+7a+2

6=2, again a false ststement

 

Answer 2

7a = 6 - b

7a = 2 - b

 

6 - b = 2 - b

6 = 2

 

No solutions