Solve 10=V*1.9-1/2g(1.9)^2

$$10 = V \times 1.9 - \frac { 1 } { 2 } g ( 1.9 ) ^ { 2 }$$

Solve for V

$$V=\frac{19g}{20}+\frac{100}{19}$$

Steps for Solving Linear Equation

Calculate 1.9 to the power of 2 and get 3.61.

$$10=V\times 1.9-\frac{1}{2}g\times 3.61$$

Multiply \frac{1}{2} and 3.61 to get \frac{361}{200}.

$$10=V\times 1.9-\frac{361}{200}g$$

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

$$V\times 1.9-\frac{361}{200}g=10$$

Add \frac{361}{200}g to both sides.

$$V\times 1.9=10+\frac{361}{200}g$$

The equation is in standard form.

$$1.9V=\frac{361g}{200}+10$$

Divide both sides of the equation by 1.9, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.9V}{1.9}=\frac{\frac{361g}{200}+10}{1.9}$$

Dividing by 1.9 undoes the multiplication by 1.9.

$$V=\frac{\frac{361g}{200}+10}{1.9}$$

Divide 10+\frac{361g}{200} by 1.9 by multiplying 10+\frac{361g}{200} by the reciprocal of 1.9.

$$V=\frac{19g}{20}+\frac{100}{19}$$

Solve for g

$$g=\frac{20V}{19}-\frac{2000}{361}$$

Steps for Solving Linear Equation

Calculate 1.9 to the power of 2 and get 3.61.

$$10=V\times 1.9-\frac{1}{2}g\times 3.61$$

Multiply \frac{1}{2} and 3.61 to get \frac{361}{200}.

$$10=V\times 1.9-\frac{361}{200}g$$

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

$$V\times 1.9-\frac{361}{200}g=10$$

Subtract V\times 1.9 from both sides.

$$-\frac{361}{200}g=10-V\times 1.9$$

Multiply -1 and 1.9 to get -1.9.

$$-\frac{361}{200}g=10-1.9V$$

The equation is in standard form.

$$-\frac{361}{200}g=-\frac{19V}{10}+10$$

Divide both sides of the equation by -\frac{361}{200}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{361}{200}g}{-\frac{361}{200}}=\frac{-\frac{19V}{10}+10}{-\frac{361}{200}}$$

Dividing by -\frac{361}{200} undoes the multiplication by -\frac{361}{200}.

$$g=\frac{-\frac{19V}{10}+10}{-\frac{361}{200}}$$

Divide 10-\frac{19V}{10} by -\frac{361}{200} by multiplying 10-\frac{19V}{10} by the reciprocal of -\frac{361}{200}.

$$g=\frac{20V}{19}-\frac{2000}{361}$$