Question

Construct an equation that has n = 8 as its solution. Use n on both sides of the equation

Answer 1

8n-25=15+3n

Explanation:

We can do this by working backwards and making suitable substitutions.

If n=8

Multiply both sides of the equation by 5

5n=8*5

5n=40

Now, we can rewrite the two sides of the equation as follows

• 5n=8n-3n
• 40=25+15

Thus:

5n=40 is equivalent to:

8n-3n=25+15

Add 3n to both sides

8n-3n+3n=25+15+3n

8n=25+15+3n

Subtract 25 from both sides

8n-25=25-25+15+3n

We have:

8n-25=15+3n

Solving this equation will have a solution of n=8.