Solve a*10^7+b*10^6=c*10^6

$$a \times 10 ^ { 7 } + b \times 10 ^ { 6 } = c \times 10 ^ { 6 }$$

Solve for a

$$a=\frac{c-b}{10}$$

Steps for Solving Linear Equation

Calculate 10 to the power of 7 and get 10000000.

$$a\times 10000000+b\times 10^{6}=c\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$a\times 10000000+b\times 1000000=c\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$a\times 10000000+b\times 1000000=c\times 1000000$$

Subtract b\times 1000000 from both sides.

$$a\times 10000000=c\times 1000000-b\times 1000000$$

Multiply -1 and 1000000 to get -1000000.

$$a\times 10000000=c\times 1000000-1000000b$$

The equation is in standard form.

$$10000000a=1000000c-1000000b$$

Divide both sides by 10000000.

$$\frac{10000000a}{10000000}=\frac{1000000c-1000000b}{10000000}$$

Dividing by 10000000 undoes the multiplication by 10000000.

$$a=\frac{1000000c-1000000b}{10000000}$$

Divide 1000000c-1000000b by 10000000.

$$a=\frac{c-b}{10}$$

Solve for b

$$b=c-10a$$

Steps for Solving Linear Equation

Calculate 10 to the power of 7 and get 10000000.

$$a\times 10000000+b\times 10^{6}=c\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$a\times 10000000+b\times 1000000=c\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$a\times 10000000+b\times 1000000=c\times 1000000$$

Subtract a\times 10000000 from both sides.

$$b\times 1000000=c\times 1000000-a\times 10000000$$

Multiply -1 and 10000000 to get -10000000.

$$b\times 1000000=c\times 1000000-10000000a$$

The equation is in standard form.

$$1000000b=1000000c-10000000a$$

Divide both sides by 1000000.

$$\frac{1000000b}{1000000}=\frac{1000000c-10000000a}{1000000}$$

Dividing by 1000000 undoes the multiplication by 1000000.

$$b=\frac{1000000c-10000000a}{1000000}$$

Divide 1000000c-10000000a by 1000000.

$$b=c-10a$$