Solve {c}{x-35y=-25.76}{4x=1.04}

$$\left. \begin{array} { c } { x - 35 y = - 25.76 } \\ { 4 x = 1.04 } \end{array} \right.$$

Solve for x, y

$$x=0.26$$

$$y=\frac{1301}{1750}\approx 0.743428571$$

Solution Steps

Consider the second equation. Divide both sides by 4.

$$x=\frac{1.04}{4}$$

Expand \frac{1.04}{4} by multiplying both numerator and the denominator by 100.

$$x=\frac{104}{400}$$

Reduce the fraction \frac{104}{400} to lowest terms by extracting and canceling out 8.

$$x=\frac{13}{50}$$

Consider the first equation. Insert the known values of variables into the equation.

$$\frac{13}{50}-35y=-25.76$$

Subtract \frac{13}{50} from both sides.

$$-35y=-25.76-\frac{13}{50}$$

Subtract \frac{13}{50} from -25.76 to get -\frac{1301}{50}.

$$-35y=-\frac{1301}{50}$$

Divide both sides by -35.

$$y=\frac{-\frac{1301}{50}}{-35}$$

Express \frac{-\frac{1301}{50}}{-35} as a single fraction.

$$y=\frac{-1301}{50\left(-35\right)}$$

Multiply 50 and -35 to get -1750.

$$y=\frac{-1301}{-1750}$$

Fraction \frac{-1301}{-1750} can be simplified to \frac{1301}{1750} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1301}{1750}$$

The system is now solved.

$$x=\frac{13}{50} y=\frac{1301}{1750}$$