Solve y=10*2.45+10+4.9(x-10)+x-10

$$y = 10 \times 2.45 + 10 + 4.9 ( x - 10 ) + x - 10$$

Solve for x

$$x=\frac{10y+245}{59}$$

Steps for Solving Linear Equation

Multiply 10 and 2.45 to get 24.5.

$$y=24.5+10+4.9\left(x-10\right)+x-10$$

Add 24.5 and 10 to get 34.5.

$$y=34.5+4.9\left(x-10\right)+x-10$$

Use the distributive property to multiply 4.9 by x-10.

$$y=34.5+4.9x-49+x-10$$

Subtract 49 from 34.5 to get -14.5.

$$y=-14.5+4.9x+x-10$$

Combine 4.9x and x to get 5.9x.

$$y=-14.5+5.9x-10$$

Subtract 10 from -14.5 to get -24.5.

$$y=-24.5+5.9x$$

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

$$-24.5+5.9x=y$$

Add 24.5 to both sides.

$$5.9x=y+24.5$$

Divide both sides of the equation by 5.9, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.9x}{5.9}=\frac{y+24.5}{5.9}$$

Dividing by 5.9 undoes the multiplication by 5.9.

$$x=\frac{y+24.5}{5.9}$$

Divide y+24.5 by 5.9 by multiplying y+24.5 by the reciprocal of 5.9.

$$x=\frac{10y+245}{59}$$

Solve for y

$$y=\frac{59x}{10}-24.5$$

Solution Steps

Multiply 10 and 2.45 to get 24.5.

$$y=24.5+10+4.9\left(x-10\right)+x-10$$

Add 24.5 and 10 to get 34.5.

$$y=34.5+4.9\left(x-10\right)+x-10$$

Use the distributive property to multiply 4.9 by x-10.

$$y=34.5+4.9x-49+x-10$$

Subtract 49 from 34.5 to get -14.5.

$$y=-14.5+4.9x+x-10$$

Combine 4.9x and x to get 5.9x.

$$y=-14.5+5.9x-10$$

Subtract 10 from -14.5 to get -24.5.

$$y=-24.5+5.9x$$