### Algebraic EquationsBelow are two algebraic equations provided for solving:#### Equation (i):\[ 2x + 4.5(25 - x) = 25 \]This linear equation involves one unknown variable, \( x \). The term \( 4.5(25 - x) \) indicates a multiplication operation within the parentheses, where 4.5 is multiplied by the difference between 25 and \( x \).#### Equation (ii):\[ -\frac{6}{5}y - 4 = -22 \]This is another linear equation with one unknown variable, \( y \). The equation includes a fraction, \(-\frac{6}{5}\), which is multiplied by \( y \), and a constant term, -4. The equation is set equal to -22.### Instructions for Solving- For Equation (i), distribute the 4.5 across the term inside the parentheses and then solve for \( x \).- For Equation (ii), isolate the variable \( y \) by first adding 4 to both sides of the equation and then solving for \( y \) by dividing both sides by \(-\frac{6}{5}\).These equations practice skills in algebraic manipulation, specifically in solving linear equations involving distribution and fractions. ### Solving Equations and Inequalities**Instruction:** Solve the following Equations and Inequalities. Show all of your work for each problem step by step.---No graphs or diagrams are present in the image.

Name: ### Algebraic EquationsBelow are two algebraic equations provided for
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: ### Algebraic EquationsBelow are two algebraic equations provided for solving:#### Equation (i):\[ 2x + 4.5(25 - x) = 25 \]This linear equation involves one unknown variable, \( x \). The term \( 4.5(25 - x) \) indicates a multiplication operation w