Solve 3350a+3300b+2580c+0d+3120e=3200

$$3350 a + 3300 b + 2580 c + 0 d + 3120 e = 3200$$

Solve for a

$$a=-\frac{66b}{67}-\frac{258c}{335}-\frac{312e}{335}+\frac{64}{67}$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$3350a+3300b+2580c+0+3120e=3200$$

Anything plus zero gives itself.

$$3350a+3300b+2580c+3120e=3200$$

Subtract 3300b from both sides.

$$3350a+2580c+3120e=3200-3300b$$

Subtract 2580c from both sides.

$$3350a+3120e=3200-3300b-2580c$$

Subtract 3120e from both sides.

$$3350a=3200-3300b-2580c-3120e$$

The equation is in standard form.

$$3350a=-3300b-2580c+3200-3120e$$

Divide both sides by 3350.

$$\frac{3350a}{3350}=\frac{-3300b-2580c+3200-3120e}{3350}$$

Dividing by 3350 undoes the multiplication by 3350.

$$a=\frac{-3300b-2580c+3200-3120e}{3350}$$

Divide 3200-3300b-2580c-3120e by 3350.

$$a=-\frac{66b}{67}-\frac{258c}{335}-\frac{312e}{335}+\frac{64}{67}$$

Solve for b

$$b=-\frac{43c}{55}-\frac{67a}{66}-\frac{52e}{55}+\frac{32}{33}$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$3350a+3300b+2580c+0+3120e=3200$$

Anything plus zero gives itself.

$$3350a+3300b+2580c+3120e=3200$$

Subtract 3350a from both sides.

$$3300b+2580c+3120e=3200-3350a$$

Subtract 2580c from both sides.

$$3300b+3120e=3200-3350a-2580c$$

Subtract 3120e from both sides.

$$3300b=3200-3350a-2580c-3120e$$

The equation is in standard form.

$$3300b=-3350a-2580c+3200-3120e$$

Divide both sides by 3300.

$$\frac{3300b}{3300}=\frac{-3350a-2580c+3200-3120e}{3300}$$

Dividing by 3300 undoes the multiplication by 3300.

$$b=\frac{-3350a-2580c+3200-3120e}{3300}$$

Divide 3200-3350a-2580c-3120e by 3300.

$$b=-\frac{43c}{55}-\frac{67a}{66}-\frac{52e}{55}+\frac{32}{33}$$