Solve for v 6/(5v-2)=9/(7v+3)

Math
65v-2=97v+3
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅(7v+3)=(5v-2)⋅9
Solve the equation for v.
Tap for more steps…
Simplify 6⋅(7v+3).
Tap for more steps…
Apply the distributive property.
6(7v)+6⋅3=(5v-2)⋅9
Multiply.
Tap for more steps…
Multiply 7 by 6.
42v+6⋅3=(5v-2)⋅9
Multiply 6 by 3.
42v+18=(5v-2)⋅9
42v+18=(5v-2)⋅9
42v+18=(5v-2)⋅9
Simplify (5v-2)⋅9.
Tap for more steps…
Apply the distributive property.
42v+18=5v⋅9-2⋅9
Multiply.
Tap for more steps…
Multiply 9 by 5.
42v+18=45v-2⋅9
Multiply -2 by 9.
42v+18=45v-18
42v+18=45v-18
42v+18=45v-18
Move all terms containing v to the left side of the equation.
Tap for more steps…
Subtract 45v from both sides of the equation.
42v+18-45v=-18
Subtract 45v from 42v.
-3v+18=-18
-3v+18=-18
Move all terms not containing v to the right side of the equation.
Tap for more steps…
Subtract 18 from both sides of the equation.
-3v=-18-18
Subtract 18 from -18.
-3v=-36
-3v=-36
Divide each term by -3 and simplify.
Tap for more steps…
Divide each term in -3v=-36 by -3.
-3v-3=-36-3
Cancel the common factor of -3.
Tap for more steps…
Cancel the common factor.
-3v-3=-36-3
Divide v by 1.
v=-36-3
v=-36-3
Divide -36 by -3.
v=12
v=12
v=12
Solve for v 6/(5v-2)=9/(7v+3)

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top