Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for 
y.

{:[(6)/(11)=(y)/(3)],[y=]:}

Solve for y y .\newline611=y3y= \begin{array}{l} \frac{6}{11}=\frac{y}{3} \\ y= \end{array}

Full solution

Q. Solve for y y .\newline611=y3y= \begin{array}{l} \frac{6}{11}=\frac{y}{3} \\ y= \end{array}
  1. Identify Cross-Multiplication: Identify the cross-multiplication that can be done with the given proportion.\newlineTo solve for yy, we can cross-multiply the terms in the proportion 611=y3\frac{6}{11} = \frac{y}{3}.
  2. Perform Cross-Multiplication: Perform the cross-multiplication. Cross-multiplying gives us 6×3=11×y6 \times 3 = 11 \times y.
  3. Simplify Multiplication: Simplify the multiplication. 6×3=186 \times 3 = 18 and 11×y=11y11 \times y = 11y, so we have 18=11y18 = 11y.
  4. Solve for y: Solve for y by dividing both sides of the equation by 1111. Dividing both sides by 1111 gives us y=1811.y = \frac{18}{11}.
  5. Simplify Division: Simplify the division to find the value of yy.y=1811y = \frac{18}{11} is already in simplest form, so y=1811y = \frac{18}{11}.

More problems from Multiply using the distributive property