Solve (x-4)/25+(y+2)/16=1

$$\frac { ( x - 4 ) } { 25 } + \frac { ( y + 2 ) } { 16 } = 1$$

Solve for x

$$x=-\frac{25y}{16}+\frac{207}{8}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 400, the least common multiple of 25,16.

$$16\left(x-4\right)+25\left(y+2\right)=400$$

Use the distributive property to multiply 16 by x-4.

$$16x-64+25\left(y+2\right)=400$$

Use the distributive property to multiply 25 by y+2.

$$16x-64+25y+50=400$$

Add -64 and 50 to get -14.

$$16x-14+25y=400$$

Add 14 to both sides.

$$16x+25y=400+14$$

Add 400 and 14 to get 414.

$$16x+25y=414$$

Subtract 25y from both sides.

$$16x=414-25y$$

Divide both sides by 16.

$$\frac{16x}{16}=\frac{414-25y}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$x=\frac{414-25y}{16}$$

Divide 414-25y by 16.

$$x=-\frac{25y}{16}+\frac{207}{8}$$

Solve for y

$$y=\frac{414-16x}{25}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 400, the least common multiple of 25,16.

$$16\left(x-4\right)+25\left(y+2\right)=400$$

Use the distributive property to multiply 16 by x-4.

$$16x-64+25\left(y+2\right)=400$$

Use the distributive property to multiply 25 by y+2.

$$16x-64+25y+50=400$$

Add -64 and 50 to get -14.

$$16x-14+25y=400$$

Subtract 16x from both sides.

$$-14+25y=400-16x$$

Add 14 to both sides.

$$25y=400-16x+14$$

Add 400 and 14 to get 414.

$$25y=414-16x$$

Divide both sides by 25.

$$\frac{25y}{25}=\frac{414-16x}{25}$$

Dividing by 25 undoes the multiplication by 25.

$$y=\frac{414-16x}{25}$$