Question

I need the answer and the work it asks for

Answer 1

• Part A

Let be:

x: The number of minutes Angela plays soccer every day

ygolf

Then, we can write the following system of linear equations

`\begin{cases}x+y=125\Rightarrow\text{ Equation 1} \\ x=45+y\Rightarrow\text{ Equation 2}\end{cases}`

• Part B

To solve this question, we will solve the system of linear equations that we wrote above.

To do this, we can first substitute the value of x from Equation 2 into Equation 1, and then we solve for y:

`\begin{gathered} x+y=125\Rightarrow\text{ Equation 1} \\ (45+y)+y=125 \\ 45+y+y=125 \\ \text{ Add similar terms} \\ 45+2y=125 \\ \text{ Subtract 45 from both sides of the equation} \\ 45+2y-45=125-45 \\ 2y=80 \\ \text{ Divide by 2 from both sides of the equation} \\ (2y)/(2)=(80)/(2) \\ y=40 \end{gathered}`

Therefore, Angela spends 40 minutes playing golf every day.

• Part C

To solve this question, we can replace the value of y into Equation 1 and then solve for x

`\begin{gathered} x+y=125\Rightarrow\text{ Equation 1} \\ x+40=125 \\ \text{ Subtract 40 from both sides of the equation} \\ x+40-40=125-40 \\ x=85 \end{gathered}`

Therefore, Angela cannot possibly spend 80 minutes playing soccer every day because she actually spends 85 minutes.