Solve SA=2(61/2*3)+2(3*9)+2(61/2*9)

$$S A = 2 ( 6 \frac { 1 } { 2 } \times 3 ) + 2 ( 3 \times 9 ) + 2 ( 6 \frac { 1 } { 2 } \times 9 )$$

Solve for A

$$A=\frac{210}{S}$$

$$S\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2SA=2\left(6\times 2+1\right)\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 6 and 2 to get 12.

$$2SA=2\left(12+1\right)\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Add 12 and 1 to get 13.

$$2SA=2\times 13\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 2 and 13 to get 26.

$$2SA=26\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 26 and 3 to get 78.

$$2SA=78+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 4 and 3 to get 12.

$$2SA=78+12\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 12 and 9 to get 108.

$$2SA=78+108+2\left(6\times 2+1\right)\times 9$$

Add 78 and 108 to get 186.

$$2SA=186+2\left(6\times 2+1\right)\times 9$$

Multiply 6 and 2 to get 12.

$$2SA=186+2\left(12+1\right)\times 9$$

Add 12 and 1 to get 13.

$$2SA=186+2\times 13\times 9$$

Multiply 2 and 13 to get 26.

$$2SA=186+26\times 9$$

Multiply 26 and 9 to get 234.

$$2SA=186+234$$

Add 186 and 234 to get 420.

$$2SA=420$$

Divide both sides by 2S.

$$\frac{2SA}{2S}=\frac{420}{2S}$$

Dividing by 2S undoes the multiplication by 2S.

$$A=\frac{420}{2S}$$

Divide 420 by 2S.

$$A=\frac{210}{S}$$

Solve for S

$$S=\frac{210}{A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2SA=2\left(6\times 2+1\right)\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 6 and 2 to get 12.

$$2SA=2\left(12+1\right)\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Add 12 and 1 to get 13.

$$2SA=2\times 13\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 2 and 13 to get 26.

$$2SA=26\times 3+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 26 and 3 to get 78.

$$2SA=78+4\times 3\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 4 and 3 to get 12.

$$2SA=78+12\times 9+2\left(6\times 2+1\right)\times 9$$

Multiply 12 and 9 to get 108.

$$2SA=78+108+2\left(6\times 2+1\right)\times 9$$

Add 78 and 108 to get 186.

$$2SA=186+2\left(6\times 2+1\right)\times 9$$

Multiply 6 and 2 to get 12.

$$2SA=186+2\left(12+1\right)\times 9$$

Add 12 and 1 to get 13.

$$2SA=186+2\times 13\times 9$$

Multiply 2 and 13 to get 26.

$$2SA=186+26\times 9$$

Multiply 26 and 9 to get 234.

$$2SA=186+234$$

Add 186 and 234 to get 420.

$$2SA=420$$

The equation is in standard form.

$$2AS=420$$

Divide both sides by 2A.

$$\frac{2AS}{2A}=\frac{420}{2A}$$

Dividing by 2A undoes the multiplication by 2A.

$$S=\frac{420}{2A}$$

Divide 420 by 2A.

$$S=\frac{210}{A}$$