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steposvetlana [31]
2 years ago
14

Solve and show work:

Mathematics
2 answers:
Katyanochek1 [597]2 years ago
7 0

Im a keep editing since this is timed.


#1 x-8a/6=3a-2x


Multiply each term by 6 to remove fraction .


6(x-8a/6)= 3a(6)-2x(6)


X-8a=18a-12x


Add 12x both sides


X+12x-8a=18a-12x+12x


13x-8a= 18a


Add8a both sides


13x-8a+8a=18a+8a


13x=26a

Divide each side by 13


13x/13=26a/13


X= 26a/13


Reduce and cancel common factor .


X= 13(2a)/13(1)


X=2a/1


X=2a


Problem #2

3x-2a=7a find a


Subtract 3x both sides


3x-3x-2a=7a-3x


-2a=7a-3x


Subtract 7a both sides

-2a-7a=7a-7a-3x


5a=-3x

Divide both sides by 5

5a/5=-3x/5


A= -0.6 or -3/5


Problem#3

3(bx-2ab)=b(x-7a)+3ab


Distributed property


3(bx)+3(-2ab)=b(x)+b(-7a)+3ab


Simplify

3bx-6ab=bx-7ab+3ab


Add -7a plus 3ab on right side


3bx-6ab= bx-4ab


Subtract bx both sides


3bx-bx-6ab= bx -bx -4ab


Simplify


2bx-6ab= -4ab


Add 6ab both sides


2bx-6ab+6ab=6ab-4ab


2bx=2ab


Divide 2b both sides


X= 2ab/2b


Cancel 2 common


X= ab/b


X=a




Elena L [17]2 years ago
3 0

Answer:

For solving an equation for a variable, we need to isolate the variable in the left side of the equation,

1. Given equation,

\frac{x-8a}{6}=3a-2x

x-8a = 18a - 12x ( By cross multiplication ),

12x+x-8a-18a=0

13x-26a=0

13x = 26a

\implies x = 2a

2. 3x-2a=7a

-2a-7a=-3x

-9a=-3x

\implies a = \frac{x}{3}

3. 3(bx-2ab)=b(x-7a)+3ab

3bx-6ab = bx - 7ab + 3ab

3bx - bx = 6ab - 7ab + 3ab

2bx=2ab

\implies x = a

4. \frac{2x+3b}{9}=\frac{x-b}{2}

4x+6b = 9x - 9b

4x - 9x = -6b - 9b

-5x=-15b

x=3b ( For x )

b=\frac{x}{3}  ( For b )

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