SOLUTION: I want to know how do i solve this problem? can you please explain me step by step: Solving equations for 2 unknowns: 3a+4b=9 2a+2b=6

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I want to know how do i solve this problem? can you please explain me step by step: Solving equations for 2 unknowns: 3a+4b=9 2a+2b=6      Log On


   



Question 679308: I want to know how do i solve this problem? can you please explain me step by step:
Solving equations for 2 unknowns:

3a+4b=9
2a+2b=6

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the second equation by -2
-2(2a+2b=6)
-4a - 4b = -12
...
Add to the first equation
3a + -4a + 4b - 4b = 9 + -12
Combine like terms
-a = -3
Divide both sides by -1
a = 3
...
Plug the a value into either equation
3(3) + 4b = 9
9 + 4b = 9
Isolate the b variable
4b = 0
Divide both sides by 4
b = 0
...
...
a = 3
b = 0
.....................
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