Solve each equation:
11/3v+2 minus 3/4= 5 over 3v+2
multipy both sides by 4(3v+2)
11*4-3(3v+2)=5*4
44-9v-6=20
then solve.
Thank you!!
To solve the equation (11/3v + 2) - (3/4) = (5/(3v + 2)), we need to isolate the variable v on one side of the equation. Here's how you can do it step by step:
Step 1: Remove the parentheses using the distributive property:
11/3v + 2 - 3/4 = 5/(3v + 2)
Step 2: Find a common denominator for the fractions in the equation. The least common denominator for 3 and 4 is 12:
44/12v + 24/12 - 9/12 = 5/(3v + 2)
Step 3: Combine like terms on both sides of the equation:
(44v + 24 - 9)/12 = 5/(3v + 2)
Step 4: Simplify the numerator:
(44v + 15)/12 = 5/(3v + 2)
Step 5: Cross-multiply to eliminate fractions:
12 * 5 = (44v + 15) * (3v + 2)
60 = 132v^2 + 94v + 30
Step 6: Rearrange the equation to form a quadratic equation:
132v^2 + 94v + 30 - 60 = 0
132v^2 + 94v - 30 = 0
Step 7: Simplify the equation by dividing each term by 2 (the greatest common divisor):
66v^2 + 47v - 15 = 0
Now, you can solve this quadratic equation by factoring, using the quadratic formula or by completing the square to find the value(s) of v.