Solve x_{1}=-5/7+1263/13/frac{1-14{15}}=

$$x _ { 1 } = \frac { - \frac { 5 } { 7 } + \frac { 1263 } { 13 } } { \frac { 1 - 14 } { 15 } } =$$

Solve for x_1

$$x_{1} = -\frac{131640}{1183} = -111\frac{327}{1183} \approx -111.276415892$$

Steps for Solving Linear Equation

Least common multiple of 7 and 13 is 91. Convert -\frac{5}{7} and \frac{1263}{13} to fractions with denominator 91.

$$x_{1}=\frac{-\frac{65}{91}+\frac{8841}{91}}{\frac{1-14}{15}}$$

Since -\frac{65}{91} and \frac{8841}{91} have the same denominator, add them by adding their numerators.

$$x_{1}=\frac{\frac{-65+8841}{91}}{\frac{1-14}{15}}$$

Add -65 and 8841 to get 8776.

$$x_{1}=\frac{\frac{8776}{91}}{\frac{1-14}{15}}$$

Subtract 14 from 1 to get -13.

$$x_{1}=\frac{\frac{8776}{91}}{\frac{-13}{15}}$$

Fraction \frac{-13}{15} can be rewritten as -\frac{13}{15} by extracting the negative sign.

$$x_{1}=\frac{\frac{8776}{91}}{-\frac{13}{15}}$$

Divide \frac{8776}{91} by -\frac{13}{15} by multiplying \frac{8776}{91} by the reciprocal of -\frac{13}{15}.

$$x_{1}=\frac{8776}{91}\left(-\frac{15}{13}\right)$$

Multiply \frac{8776}{91} times -\frac{15}{13} by multiplying numerator times numerator and denominator times denominator.

$$x_{1}=\frac{8776\left(-15\right)}{91\times 13}$$

Do the multiplications in the fraction \frac{8776\left(-15\right)}{91\times 13}.

$$x_{1}=\frac{-131640}{1183}$$

Fraction \frac{-131640}{1183} can be rewritten as -\frac{131640}{1183} by extracting the negative sign.

$$x_{1}=-\frac{131640}{1183}$$

Assign x_1

$$x_{1}≔-\frac{131640}{1183}$$