Math Problem Statement
Solution
I see you've uploaded an image containing several equations. Let's go through them step by step.
(i) Solve:
First, simplify the left-hand side: Now we have: To solve for , subtract 5 from both sides: So, .
(j) Solve:
First, multiply both sides by 4 to get rid of the fraction: Now divide both sides by 5: So, .
(k) Solve:
Multiply both sides by 2: Now, add 6 to both sides: So, .
(l) Solve:
First, add 10 to both sides: Now, multiply both sides by 5: So, .
(m) Solve:
First, subtract 4 from both sides: Now, multiply both sides by 5: So, .
(n) Solve:
First, divide both sides by 2: Now, subtract 2 from both sides: So, .
(o) Solve:
First, multiply both sides by -1: Now, subtract 3 from both sides: So, .
Would you like any further explanation or details on any step? Here are some related questions:
- Can you explain how to solve linear equations step-by-step?
- How would these problems change if they involved fractions or decimals?
- What happens if variables appear on both sides of an equation?
- How would you solve an equation with two variables?
- What are common mistakes to avoid when solving linear equations?
Tip: Always check your solution by substituting the value back into the original equation to see if both sides are equal!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Solving for Variables
Formulas
Basic linear equation: ax + b = c
Isolating variables using inverse operations
Multiplying/dividing to eliminate fractions
Theorems
Properties of equality (adding, subtracting, multiplying, dividing both sides of an equation)
Suitable Grade Level
Grades 6-8