Solve {l}{x=10*5}{x*Y=500}{a=Y}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x = 10 \cdot 5 }\\ { x \cdot Y = 500 }\\ { a = Y }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, Y, a, b

$$b=10$$

Solution Steps

Consider the first equation. Multiply 10 and 5 to get 50.

$$x=50$$

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

$$50Y=500$$

Divide both sides by 50.

$$Y=\frac{500}{50}$$

Divide 500 by 50 to get 10.

$$Y=10$$

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

$$a=10$$

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

$$b=10$$

The system is now solved.

$$x=50 Y=10 a=10 b=10$$