Solve y-75.9377778=-104.378/4.2588(x-6.62222)

$$y - 75.9377778 = - 104.378 / 4.2588 ( x - 6.62222 )$$

Solve for x

$$x=-\frac{5000000y}{33766283}+\frac{30164832180413}{1688314150000}$$

Steps for Solving Linear Equation

Expand \frac{104.378}{4} by multiplying both numerator and the denominator by 1000.

$$y-75.9377778=\left(-\frac{104378}{4000}\right)\times 0.2588\left(x-6.62222\right)$$

Reduce the fraction \frac{104378}{4000} to lowest terms by extracting and canceling out 2.

$$y-75.9377778=-\frac{52189}{2000}\times 0.2588\left(x-6.62222\right)$$

Multiply -\frac{52189}{2000} and 0.2588 to get -\frac{33766283}{5000000}.

$$y-75.9377778=-\frac{33766283}{5000000}\left(x-6.62222\right)$$

Use the distributive property to multiply -\frac{33766283}{5000000} by x-6.62222.

$$y-75.9377778=-\frac{33766283}{5000000}x+\frac{11180387730413}{250000000000}$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{33766283}{5000000}x+\frac{11180387730413}{250000000000}=y-75.9377778$$

Subtract \frac{11180387730413}{250000000000} from both sides.

$$-\frac{33766283}{5000000}x=y-75.9377778-\frac{11180387730413}{250000000000}$$

Subtract \frac{11180387730413}{250000000000} from -75.9377778 to get -\frac{30164832180413}{250000000000}.

$$-\frac{33766283}{5000000}x=y-\frac{30164832180413}{250000000000}$$

Divide both sides of the equation by -\frac{33766283}{5000000}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{33766283}{5000000}x}{-\frac{33766283}{5000000}}=\frac{y-\frac{30164832180413}{250000000000}}{-\frac{33766283}{5000000}}$$

Dividing by -\frac{33766283}{5000000} undoes the multiplication by -\frac{33766283}{5000000}.

$$x=\frac{y-\frac{30164832180413}{250000000000}}{-\frac{33766283}{5000000}}$$

Divide y-\frac{30164832180413}{250000000000} by -\frac{33766283}{5000000} by multiplying y-\frac{30164832180413}{250000000000} by the reciprocal of -\frac{33766283}{5000000}.

$$x=-\frac{5000000y}{33766283}+\frac{30164832180413}{1688314150000}$$

Solve for y

$$y=-\frac{33766283x}{5000000}+120.659328721652$$

Solution Steps

Expand \frac{104.378}{4} by multiplying both numerator and the denominator by 1000.

$$y-75.9377778=\left(-\frac{104378}{4000}\right)\times 0.2588\left(x-6.62222\right)$$

Reduce the fraction \frac{104378}{4000} to lowest terms by extracting and canceling out 2.

$$y-75.9377778=-\frac{52189}{2000}\times 0.2588\left(x-6.62222\right)$$

Multiply -\frac{52189}{2000} and 0.2588 to get -\frac{33766283}{5000000}.

$$y-75.9377778=-\frac{33766283}{5000000}\left(x-6.62222\right)$$

Use the distributive property to multiply -\frac{33766283}{5000000} by x-6.62222.

$$y-75.9377778=-\frac{33766283}{5000000}x+\frac{11180387730413}{250000000000}$$

Add 75.9377778 to both sides.

$$y=-\frac{33766283}{5000000}x+\frac{11180387730413}{250000000000}+75.9377778$$

Add \frac{11180387730413}{250000000000} and 75.9377778 to get \frac{30164832180413}{250000000000}.

$$y=-\frac{33766283}{5000000}x+\frac{30164832180413}{250000000000}$$