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Which method would you use to solve the problem substitution or graphing explain your answer (PART B)

Which Method Would You Use To Solve The Problem Substitution Or Graphing Explain Your Answer PART B class=

Sagot :

Answer:

Based on the solution that is being on Part A, the method used is substitution.

Explanation:

The two equations in Part A were:

x = the number of weeks

Equation 1: Lyle's savings = 100 + 20x

Equation 2: Shaun's savings = 500 + 10x

Since we wanted to know when Lyle's and Shaun's savings will be equal, we substituted "Lyle's savings" in the equation with 500 + 10x. It made equation 1 become 500 + 10x = 100 + 20x.

Or, we substituted "Shaun's savings" in the equation with 100 + 20x. It made equation 2 become 100 + 20x = 500 + 10x.

From this, we were able to calculate that at week 40, both Lyle and Shaun will have the same amount in their savings account.

[tex]\begin{gathered} 500+10x=100+20x \\ 500-100=20x-10x \\ 400=10x \\ \frac{400}{10}=\frac{10x}{10} \\ 40=x \end{gathered}[/tex]