Solve for x y=(5-x)/(7x+11)

Problem

y=(5−x)/(7*x+11)

Solution

1. Multiply both sides by the denominator 7*x+11 to clear the fraction.

y*(7*x+11)=5−x

2. Distribute the y into the terms inside the parentheses.

7*x*y+11*y=5−x

3. Rearrange the equation to group all terms containing x on one side and all other terms on the other side.

7*x*y+x=5−11*y

4. Factor out the common factor x from the left side of the equation.

x*(7*y+1)=5−11*y

5. Divide both sides by the expression 7*y+1 to isolate x

x=(5−11*y)/(7*y+1)

Final Answer

x=(5−11*y)/(7*y+1)

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