Solve {l}{l/y=-1/3x+7}{text{Solvefor}mtext{where}}{m=operatorname{P}(6,5)}

$$\left. \begin{array} { l } { l / y = -\frac{1}{3} x + 7 }\\ { \text{Solve for } m \text{ where} } \\ { m = \operatorname{P}(6, 5) } \end{array} \right.$$

Solve for x

$$x=-\frac{3l}{y}+21$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3y, the least common multiple of y,3.

$$3l=-\frac{1}{3}x\times 3y+3y\times 7$$

Multiply -\frac{1}{3} and 3 to get -1.

$$3l=-xy+3y\times 7$$

Multiply 3 and 7 to get 21.

$$3l=-xy+21y$$

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

$$-xy+21y=3l$$

Subtract 21y from both sides.

$$-xy=3l-21y$$

The equation is in standard form.

$$\left(-y\right)x=3l-21y$$

Divide both sides by -y.

$$\frac{\left(-y\right)x}{-y}=\frac{3l-21y}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$x=\frac{3l-21y}{-y}$$

Divide 3l-21y by -y.

$$x=-\frac{3l}{y}+21$$