Question

Solve for v1 someone helppppp

Answer 1

`v_1=(w)/(x)-v_2`

Explanation:

Solve the given literal equation for the specified variable.

`w=x(v_1+v_2) \ \text{solve for} \ v_1\\\\\\\hrule`

What are literal equations?

In mathematics, a literal equation is an equation that contains one or more variables, usually represented by letters, instead of specific numerical values. These variables can be used to represent unknown quantities or general quantities that can take on different values. Literal equations are commonly used to express relationships between different variables and to solve for a specific variable in terms of the others.

Now solving,

`w=x(v_1+v_2)`

Divide each side of the equation by "x"

`\Longrightarrow (w)/(x)=(x)/(x) (v_1+v_2)\\\\\\\\\Longrightarrow (w)/(x)= v_1+v_2`

Now subtract "v_2" from either side of the equation

`\Longrightarrow (w)/(x)-v_2= v_1+v_2-v_2\\\\\\\\ \Longrightarrow (w)/(x)-v_2= v_1\\\\\\\\\therefore \boxed{\boxed{ v_1=(w)/(x)-v_2 }}`

Thus, the equation is solved for the specified variable.