Solve 0.035y+0.055left(x+1500right)=262.5

$$0.035y+0.055 \left( x+1500 \right) = 262.5$$

Solve for x

$$x=\frac{36000-7y}{11}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.055 by x+1500.

$$0.035y+0.055x+82.5=262.5$$

Subtract 0.035y from both sides.

$$0.055x+82.5=262.5-0.035y$$

Subtract 82.5 from both sides.

$$0.055x=262.5-0.035y-82.5$$

Subtract 82.5 from 262.5 to get 180.

$$0.055x=180-0.035y$$

The equation is in standard form.

$$0.055x=-\frac{7y}{200}+180$$

Divide both sides of the equation by 0.055, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.055x}{0.055}=\frac{-\frac{7y}{200}+180}{0.055}$$

Dividing by 0.055 undoes the multiplication by 0.055.

$$x=\frac{-\frac{7y}{200}+180}{0.055}$$

Divide 180-\frac{7y}{200} by 0.055 by multiplying 180-\frac{7y}{200} by the reciprocal of 0.055.

$$x=\frac{36000-7y}{11}$$

Solve for y

$$y=\frac{36000-11x}{7}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.055 by x+1500.

$$0.035y+0.055x+82.5=262.5$$

Subtract 0.055x from both sides.

$$0.035y+82.5=262.5-0.055x$$

Subtract 82.5 from both sides.

$$0.035y=262.5-0.055x-82.5$$

Subtract 82.5 from 262.5 to get 180.

$$0.035y=180-0.055x$$

The equation is in standard form.

$$0.035y=-\frac{11x}{200}+180$$

Divide both sides of the equation by 0.035, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.035y}{0.035}=\frac{-\frac{11x}{200}+180}{0.035}$$

Dividing by 0.035 undoes the multiplication by 0.035.

$$y=\frac{-\frac{11x}{200}+180}{0.035}$$

Divide 180-\frac{11x}{200} by 0.035 by multiplying 180-\frac{11x}{200} by the reciprocal of 0.035.

$$y=\frac{36000-11x}{7}$$