Solve 5y-7/5/2+4x-3/6=18-5x

$$\frac { \frac { 5 y - 7 } { 5 } } { 2 } + \frac { 4 x - 3 } { 6 } = 18 - 5 x$$

Solve for x

$$x=-\frac{3y}{34}+\frac{288}{85}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\times \frac{5y-7}{5}+4x-3=108-30x$$

Express 3\times \frac{5y-7}{5} as a single fraction.

$$\frac{3\left(5y-7\right)}{5}+4x-3=108-30x$$

Use the distributive property to multiply 3 by 5y-7.

$$\frac{15y-21}{5}+4x-3=108-30x$$

Divide each term of 15y-21 by 5 to get 3y-\frac{21}{5}.

$$3y-\frac{21}{5}+4x-3=108-30x$$

Subtract 3 from -\frac{21}{5} to get -\frac{36}{5}.

$$3y-\frac{36}{5}+4x=108-30x$$

Add 30x to both sides.

$$3y-\frac{36}{5}+4x+30x=108$$

Combine 4x and 30x to get 34x.

$$3y-\frac{36}{5}+34x=108$$

Subtract 3y from both sides.

$$-\frac{36}{5}+34x=108-3y$$

Add \frac{36}{5} to both sides.

$$34x=108-3y+\frac{36}{5}$$

Add 108 and \frac{36}{5} to get \frac{576}{5}.

$$34x=\frac{576}{5}-3y$$

Divide both sides by 34.

$$\frac{34x}{34}=\frac{\frac{576}{5}-3y}{34}$$

Dividing by 34 undoes the multiplication by 34.

$$x=\frac{\frac{576}{5}-3y}{34}$$

Divide \frac{576}{5}-3y by 34.

$$x=-\frac{3y}{34}+\frac{288}{85}$$

Solve for y

$$y=-\frac{34x}{3}+\frac{192}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\times \frac{5y-7}{5}+4x-3=108-30x$$

Express 3\times \frac{5y-7}{5} as a single fraction.

$$\frac{3\left(5y-7\right)}{5}+4x-3=108-30x$$

Use the distributive property to multiply 3 by 5y-7.

$$\frac{15y-21}{5}+4x-3=108-30x$$

Divide each term of 15y-21 by 5 to get 3y-\frac{21}{5}.

$$3y-\frac{21}{5}+4x-3=108-30x$$

Subtract 3 from -\frac{21}{5} to get -\frac{36}{5}.

$$3y-\frac{36}{5}+4x=108-30x$$

Add \frac{36}{5} to both sides.

$$3y+4x=108-30x+\frac{36}{5}$$

Add 108 and \frac{36}{5} to get \frac{576}{5}.

$$3y+4x=\frac{576}{5}-30x$$

Subtract 4x from both sides.

$$3y=\frac{576}{5}-30x-4x$$

Combine -30x and -4x to get -34x.

$$3y=\frac{576}{5}-34x$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{\frac{576}{5}-34x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{\frac{576}{5}-34x}{3}$$

Divide \frac{576}{5}-34x by 3.

$$y=-\frac{34x}{3}+\frac{192}{5}$$