solve each problem 0.6(1+3.4v)=2.1(v+0.3)

Question

solve each problem 0.6(1+3.4v)=2.1(v+0.3)

Answer 1

First let's apply the distributive property to both sides of the equation:

0.6(1 + 3.4v) = 2.1(v + 0.3)

0.6 + 2.04v = 2.1v + 0.63

Now solve this equation for v:

0.6 + 2.04v - 2.04v = 2.1v + 0.63 - 2.04v

0.6 = 0.06v + 0.63

0.6 - 0.63 = 0.06v + 0.63 - 0.63

-0.03 = 0.06v

-0.03/0.06 = v

-0.05 = v

You can verify this solution by substituting -0.5 for v in the original equation:

0.6(1 + 3.4v) = 2.1(v + 0.3)

0.6 ( 1 + 3.4 *(-0.5)) = 2.1 (-0.5 + 0.3)

0.6 ( 1 + (-1.7)) = -1.05 + 0.63

0.6 *(-0.7) = -0.42

-0.42 = -0.42