Solve {l}{0*18=a}{2015*2016-2013*2018=b}{c=sqrt{678^2}}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { 0 \cdot 18 = a }\\ { 2015 \cdot 2016 - 2013 \cdot 2018 = b }\\ { c = \sqrt{678 ^ {2}} }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for a, b, c, d

$$d=678$$

Solution Steps

Consider the first equation. Multiply 0 and 18 to get 0.

$$0=a$$

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

$$a=0$$

Consider the second equation. Multiply 2015 and 2016 to get 4062240.

$$4062240-2013\times 2018=b$$

Multiply 2013 and 2018 to get 4062234.

$$4062240-4062234=b$$

Subtract 4062234 from 4062240 to get 6.

$$6=b$$

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

$$b=6$$

Consider the third equation. Calculate 678 to the power of 2 and get 459684.

$$c=\sqrt{459684}$$

Calculate the square root of 459684 and get 678.

$$c=678$$

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

$$d=678$$

The system is now solved.

$$a=0 b=6 c=678 d=678$$