Question

lesson 11 | session 4
7 winona and her mom buy ribbon to wrap presents. the cost of p inches of plain ribbon is represented by 6p. the cost of p inches of striped ribbon is represented by 6p + 9. winona says that 6p = 6p + 9 for any value of p because the coefficients of p are the same on both sides of the equation. is winona correct? explain.
8 write an equation that has the given number of solutions.
a. no solution
b. infinitely many solutions
9 math journal write a one - variable linear equation that has infinitely many solutions. then change one term in your equation so that it has no solution. how do you know that each of your equations has the correct number of solutions?
end of lesson checklist
interactive glossary find the entry for linear equation. give 3 examples of linear equations.
self check go back to the unit 3 opener and see what you can check off.

Explanation:

Step1: Analyze Winona's equation

The equation is $6p = 6p + 9$. Subtract $6p$ from both sides: $0 = 9$.

Step2: Evaluate the result

$0 = 9$ is a false statement, so no solution exists.

Answer:

Winona is not correct. The equation $6p = 6p + 9$ simplifies to $0 = 9$, which is never true for any value of $p$. Thus, her claim is wrong.