Solve y=4x+14*3.14*10*20*0.98912/39.54*39.54*1

$$y = \frac { 4 x + 14 \times 3.14 \times 10 \times 20 \times 0.98912 } { 39.54 \times 39.54 \times 1 }$$

Solve for x

$$x=\frac{3908529y}{10000}-2174.08576$$

Steps for Solving Linear Equation

Multiply 14 and 3.14 to get 43.96.

$$y=\frac{4x+43.96\times 10\times 20\times 0.98912}{39.54\times 39.54\times 1}$$

Multiply 43.96 and 10 to get 439.6.

$$y=\frac{4x+439.6\times 20\times 0.98912}{39.54\times 39.54\times 1}$$

Multiply 439.6 and 20 to get 8792.

$$y=\frac{4x+8792\times 0.98912}{39.54\times 39.54\times 1}$$

Multiply 8792 and 0.98912 to get 8696.34304.

$$y=\frac{4x+8696.34304}{39.54\times 39.54\times 1}$$

Multiply 39.54 and 39.54 to get 1563.4116.

$$y=\frac{4x+8696.34304}{1563.4116\times 1}$$

Multiply 1563.4116 and 1 to get 1563.4116.

$$y=\frac{4x+8696.34304}{1563.4116}$$

Divide each term of 4x+8696.34304 by 1563.4116 to get \frac{4x}{1563.4116}+\frac{8696.34304}{1563.4116}.

$$y=\frac{4x}{1563.4116}+\frac{8696.34304}{1563.4116}$$

Divide 4x by 1563.4116 to get \frac{10000}{3908529}x.

$$y=\frac{10000}{3908529}x+\frac{8696.34304}{1563.4116}$$

Expand \frac{8696.34304}{1563.4116} by multiplying both numerator and the denominator by 100000.

$$y=\frac{10000}{3908529}x+\frac{869634304}{156341160}$$

Reduce the fraction \frac{869634304}{156341160} to lowest terms by extracting and canceling out 8.

$$y=\frac{10000}{3908529}x+\frac{108704288}{19542645}$$

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

$$\frac{10000}{3908529}x+\frac{108704288}{19542645}=y$$

Subtract \frac{108704288}{19542645} from both sides.

$$\frac{10000}{3908529}x=y-\frac{108704288}{19542645}$$

Divide both sides of the equation by \frac{10000}{3908529}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{10000}{3908529}x}{\frac{10000}{3908529}}=\frac{y-\frac{108704288}{19542645}}{\frac{10000}{3908529}}$$

Dividing by \frac{10000}{3908529} undoes the multiplication by \frac{10000}{3908529}.

$$x=\frac{y-\frac{108704288}{19542645}}{\frac{10000}{3908529}}$$

Divide y-\frac{108704288}{19542645} by \frac{10000}{3908529} by multiplying y-\frac{108704288}{19542645} by the reciprocal of \frac{10000}{3908529}.

$$x=\frac{3908529y}{10000}-\frac{6794018}{3125}$$

Solve for y

$$y=\frac{10000x}{3908529}+\frac{108704288}{19542645}$$

Solution Steps

Multiply 14 and 3.14 to get 43.96.

$$y=\frac{4x+43.96\times 10\times 20\times 0.98912}{39.54\times 39.54\times 1}$$

Multiply 43.96 and 10 to get 439.6.

$$y=\frac{4x+439.6\times 20\times 0.98912}{39.54\times 39.54\times 1}$$

Multiply 439.6 and 20 to get 8792.

$$y=\frac{4x+8792\times 0.98912}{39.54\times 39.54\times 1}$$

Multiply 8792 and 0.98912 to get 8696.34304.

$$y=\frac{4x+8696.34304}{39.54\times 39.54\times 1}$$

Multiply 39.54 and 39.54 to get 1563.4116.

$$y=\frac{4x+8696.34304}{1563.4116\times 1}$$

Multiply 1563.4116 and 1 to get 1563.4116.

$$y=\frac{4x+8696.34304}{1563.4116}$$

Divide each term of 4x+8696.34304 by 1563.4116 to get \frac{4x}{1563.4116}+\frac{8696.34304}{1563.4116}.

$$y=\frac{4x}{1563.4116}+\frac{8696.34304}{1563.4116}$$

Divide 4x by 1563.4116 to get \frac{10000}{3908529}x.

$$y=\frac{10000}{3908529}x+\frac{8696.34304}{1563.4116}$$

Expand \frac{8696.34304}{1563.4116} by multiplying both numerator and the denominator by 100000.

$$y=\frac{10000}{3908529}x+\frac{869634304}{156341160}$$

Reduce the fraction \frac{869634304}{156341160} to lowest terms by extracting and canceling out 8.

$$y=\frac{10000}{3908529}x+\frac{108704288}{19542645}$$