Solve y+8.32=0.49(x-(-4.58)

$$y + 8.32 = 0.49 ( x - ( - 4.58 )$$

Solve for x

$$x=\frac{100y}{49}+\frac{30379}{2450}$$

Steps for Solving Linear Equation

The opposite of -4.58 is 4.58.

$$y+8.32=0.49\left(x+4.58\right)$$

Use the distributive property to multiply 0.49 by x+4.58.

$$y+8.32=0.49x+2.2442$$

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

$$0.49x+2.2442=y+8.32$$

Subtract 2.2442 from both sides.

$$0.49x=y+8.32-2.2442$$

Subtract 2.2442 from 8.32 to get 6.0758.

$$0.49x=y+6.0758$$

Divide both sides of the equation by 0.49, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.49x}{0.49}=\frac{y+6.0758}{0.49}$$

Dividing by 0.49 undoes the multiplication by 0.49.

$$x=\frac{y+6.0758}{0.49}$$

Divide y+6.0758 by 0.49 by multiplying y+6.0758 by the reciprocal of 0.49.

$$x=\frac{100y}{49}+\frac{30379}{2450}$$

Solve for y

$$y=\frac{49x}{100}-6.0758$$

Solution Steps

The opposite of -4.58 is 4.58.

$$y+8.32=0.49\left(x+4.58\right)$$

Use the distributive property to multiply 0.49 by x+4.58.

$$y+8.32=0.49x+2.2442$$

Subtract 8.32 from both sides.

$$y=0.49x+2.2442-8.32$$

Subtract 8.32 from 2.2442 to get -6.0758.

$$y=0.49x-6.0758$$