← See all Algebra problems

Solve equations, simplify expressions, find area, and equivalent fractions

Check the final answer first, then review the worked steps.

Answer

1. x = 4; 2. y = 7; 3. 9a - 12; 4. 60; 5. 3/4

Step-by-step solution

  1. Solve 2x + 3 = 11: Subtract 3 from both sides to get $2x = 8$. Divide by 2 to find $x = 4$.
  1. Find the value of y for 3y - 5 = 16: Add 5 to both sides to get $3y = 21$. Divide by 3 to find $y = 7$.
  1. Simplify 4(2a - 3) + a: Distribute the 4 to get $8a - 12 + a$. Combine like terms ($8a + a$) to get $9a - 12$.
  1. Find the area of a rectangle: The area of a rectangle is calculated as $length \times width$. Given $12 \text{ cm}$ and $5 \text{ cm}$, the area is $12 \times 5 = 60 \text{ cm}^2$.
  1. Find the equivalent fraction to 6/8: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2. $\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$.