Solve {l}{x1=50}{y1=195}{x2=45}{y2=917}{d=sqrt{(x2-x1)^2+(y2-y1)^2}}

$$\left. \begin{array} { l } { x 1 = 50 } \\ { y 1 = 195 } \\ { x 2 = 45 } \\ { y 2 = 917 } \\ { d = \sqrt { ( x 2 - x 1 ) ^ { 2 } + ( y 2 - y 1 ) ^ { 2 } } } \end{array} \right.$$

Solve for x_1, y_1, x_2, y_2, d

$$x_{1}=50$$

$$y_{1}=195$$

$$x_{2}=45$$

$$y_{2}=917$$

$$d=\sqrt{521309}\approx 722.017312812$$

Solution Steps

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

$$d=\sqrt{\left(45-50\right)^{2}+\left(917-195\right)^{2}}$$

Subtract 50 from 45 to get -5.

$$d=\sqrt{\left(-5\right)^{2}+\left(917-195\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$d=\sqrt{25+\left(917-195\right)^{2}}$$

Subtract 195 from 917 to get 722.

$$d=\sqrt{25+722^{2}}$$

Calculate 722 to the power of 2 and get 521284.

$$d=\sqrt{25+521284}$$

Add 25 and 521284 to get 521309.

$$d=\sqrt{521309}$$

The system is now solved.

$$x_{1}=50 y_{1}=195 x_{2}=45 y_{2}=917 d=\sqrt{521309}$$