Solve (x+6/100x)+(x+9/1000x)=970

$$( x + \frac { 6 } { 100 } x ) + ( x + \frac { 9 } { 1000 } x ) = 970$$

Solve for x

$$x = \frac{970000}{2069} = 468\frac{1708}{2069} \approx 468.825519575$$

Steps for Solving Linear Equation

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$x+\frac{3}{50}x+x+\frac{9}{1000}x=970$$

Combine x and \frac{3}{50}x to get \frac{53}{50}x.

$$\frac{53}{50}x+x+\frac{9}{1000}x=970$$

Combine \frac{53}{50}x and x to get \frac{103}{50}x.

$$\frac{103}{50}x+\frac{9}{1000}x=970$$

Combine \frac{103}{50}x and \frac{9}{1000}x to get \frac{2069}{1000}x.

$$\frac{2069}{1000}x=970$$

Multiply both sides by \frac{1000}{2069}, the reciprocal of \frac{2069}{1000}.

$$x=970\times \frac{1000}{2069}$$

Express 970\times \frac{1000}{2069} as a single fraction.

$$x=\frac{970\times 1000}{2069}$$

Multiply 970 and 1000 to get 970000.

$$x=\frac{970000}{2069}$$