Solve y=-4,5/3x+2

$$y = - \frac { 4,5 } { 3 } x + 2$$

Solve for x

$$x=\frac{4-2y}{3}$$

Steps for Solving Linear Equation

Expand \frac{4,5}{3} by multiplying both numerator and the denominator by 10.

$$y=\left(-\frac{45}{30}\right)x+2$$

Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.

$$y=-\frac{3}{2}x+2$$

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

$$-\frac{3}{2}x+2=y$$

Subtract 2 from both sides.

$$-\frac{3}{2}x=y-2$$

Divide both sides of the equation by -\frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{3}{2}x}{-\frac{3}{2}}=\frac{y-2}{-\frac{3}{2}}$$

Dividing by -\frac{3}{2} undoes the multiplication by -\frac{3}{2}.

$$x=\frac{y-2}{-\frac{3}{2}}$$

Divide y-2 by -\frac{3}{2} by multiplying y-2 by the reciprocal of -\frac{3}{2}.

$$x=\frac{4-2y}{3}$$

Solve for y

$$y=-\frac{3x}{2}+2$$

Solution Steps

Expand \frac{4,5}{3} by multiplying both numerator and the denominator by 10.

$$y=\left(-\frac{45}{30}\right)x+2$$

Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.

$$y=-\frac{3}{2}x+2$$