Question

If TU = 4, UV=2x, and 7V=x+ 10, what is UV?

Answer 1

The equation is solved below.

What is an equation?

There are several methods to define a mathematical equation. An b is a mathematical statement that declares the equality of two mathematical expressions in their most basic form. For instance, in the equation 3x + 5 = 14, the two expressions 3x + 5 and 14 are separated by the 'equal' sign. The simplest and most fundamental algebraic equations in mathematics have one or more variables.

Given equations,

TU = 4 => U = 4/T

UV = 2x => V = 2x/U => V = xT/2 => x = 2V/T

Now, 7V = x + 10

=> 7V = 2V/T + 10

=> 7V X 4/U = 2V + 10 X 4/U

=> 28V/U = (2UV + 40)/U

=> 14V = UV + 20

=> UV = 14V - 20

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