Solve y-20=90/0.192(x-124.924)

$$y-20= \frac{ 90 }{ 0.192 } (x-124.924)$$

Solve for x

$$x=\frac{4y}{1875}+\frac{93661}{750}$$

Steps for Solving Linear Equation

Expand \frac{90}{0.192} by multiplying both numerator and the denominator by 1000.

$$y-20=\frac{90000}{192}\left(x-124.924\right)$$

Reduce the fraction \frac{90000}{192} to lowest terms by extracting and canceling out 48.

$$y-20=\frac{1875}{4}\left(x-124.924\right)$$

Use the distributive property to multiply \frac{1875}{4} by x-124.924.

$$y-20=\frac{1875}{4}x-\frac{468465}{8}$$

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

$$\frac{1875}{4}x-\frac{468465}{8}=y-20$$

Add \frac{468465}{8} to both sides.

$$\frac{1875}{4}x=y-20+\frac{468465}{8}$$

Add -20 and \frac{468465}{8} to get \frac{468305}{8}.

$$\frac{1875}{4}x=y+\frac{468305}{8}$$

Divide both sides of the equation by \frac{1875}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{1875}{4}x}{\frac{1875}{4}}=\frac{y+\frac{468305}{8}}{\frac{1875}{4}}$$

Dividing by \frac{1875}{4} undoes the multiplication by \frac{1875}{4}.

$$x=\frac{y+\frac{468305}{8}}{\frac{1875}{4}}$$

Divide y+\frac{468305}{8} by \frac{1875}{4} by multiplying y+\frac{468305}{8} by the reciprocal of \frac{1875}{4}.

$$x=\frac{4y}{1875}+\frac{93661}{750}$$

Solve for y

$$y=\frac{1875x}{4}-58538.125$$

Solution Steps

Expand \frac{90}{0.192} by multiplying both numerator and the denominator by 1000.

$$y-20=\frac{90000}{192}\left(x-124.924\right)$$

Reduce the fraction \frac{90000}{192} to lowest terms by extracting and canceling out 48.

$$y-20=\frac{1875}{4}\left(x-124.924\right)$$

Use the distributive property to multiply \frac{1875}{4} by x-124.924.

$$y-20=\frac{1875}{4}x-\frac{468465}{8}$$

Add 20 to both sides.

$$y=\frac{1875}{4}x-\frac{468465}{8}+20$$

Add -\frac{468465}{8} and 20 to get -\frac{468305}{8}.

$$y=\frac{1875}{4}x-\frac{468305}{8}$$