Solve {l}{x=5}{x*5=y}{y=a+b}{a=20}

$$\left. \begin{array} { l } { x = 5 } \\ { x \times 5 = y } \\ { y = a + b } \\ { a = 20 } \end{array} \right.$$

Solve for x, y, a, b

$$x=5$$

$$y=25$$

$$a=20$$

$$b=5$$

Solution Steps

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

$$5\times 5=y$$

Multiply 5 and 5 to get 25.

$$25=y$$

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

$$y=25$$

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

$$25=20+b$$

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

$$20+b=25$$

Subtract 20 from both sides.

$$b=25-20$$

Subtract 20 from 25 to get 5.

$$b=5$$

The system is now solved.

$$x=5 y=25 a=20 b=5$$