Solve {l}{y=x+3}{10x+y=(x+y)}

$$\left. \begin{array} { l } { y = x + 3 } \\ { 10 x + y = ( x + y ) } \end{array} \right.$$

Solve for y, x

$$x=0$$

$$y=3$$

Solution Steps

Consider the first equation. Subtract x from both sides.

$$y-x=3$$

Consider the second equation. Subtract x from both sides.

$$10x+y-x=y$$

Combine 10x and -x to get 9x.

$$9x+y=y$$

Subtract y from both sides.

$$9x+y-y=0$$

Combine y and -y to get 0.

$$9x=0$$

Divide both sides by 9. Zero divided by any non-zero number gives zero.

$$x=0$$

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

$$y-0=3$$

Multiply -1 and 0 to get 0.

$$y+0=3$$

Anything plus zero gives itself.

$$y=3$$

The system is now solved.

$$y=3 x=0$$