Solve {l}{5(x-2)+5(3-y)=-11/2}

$$\left\{ \begin{array} { l } { 5 ( x - 2 ) + 5 ( 3 - y ) = - \frac { 11 } { 2 } } \end{array} \right.$$

Solve for x

$$x = -\frac{21}{10} = -2\frac{1}{10} = -2.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-2.

$$5x-10+5\left(3-y\right)=-\frac{11}{2}$$

Use the distributive property to multiply 5 by 3-y.

$$5x-10+15-5y=-\frac{11}{2}$$

Add -10 and 15 to get 5.

$$5x+5-5y=-\frac{11}{2}$$

Subtract 5 from both sides.

$$5x-5y=-\frac{11}{2}-5$$

Subtract 5 from -\frac{11}{2} to get -\frac{21}{2}.

$$5x-5y=-\frac{21}{2}$$

Add 5y to both sides.

$$5x=-\frac{21}{2}+5y$$

The equation is in standard form.

$$5x=5y-\frac{21}{2}$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{5y-\frac{21}{2}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{5y-\frac{21}{2}}{5}$$

Divide -\frac{21}{2}+5y by 5.

$$x=y-\frac{21}{10}$$