Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Complete the equation.

[tex]
\begin{array}{c}
L = \text{Large Cups} \quad M = \text{Medium Cups} \\
2M + 3L = 26 \\
M + L = [?]
\end{array}
\]

Sagot :

GinnyAnswer
Sure, let's solve this step by step.

Given the system of equations:

[tex]\[ 2M + 3L = 26 \][/tex]

[tex]\[ M + L = X \][/tex]

We know that [tex]\(M\)[/tex] represents the number of medium cups and [tex]\(L\)[/tex] represents the number of large cups.

First, we need to find suitable integer values for [tex]\(M\)[/tex] and [tex]\(L\)[/tex] that satisfy the first equation:

[tex]\[ 2M + 3L = 26 \][/tex]

By examining possible values, we eventually find that when [tex]\(M = 1\)[/tex] and [tex]\(L = 8\)[/tex], the equation balances out:

[tex]\[ 2(1) + 3(8) = 26 \][/tex]
[tex]\[ 2 + 24 = 26 \][/tex]
[tex]\[ 26 = 26 \][/tex]

Thus, the values that satisfy the equation are [tex]\(M = 1\)[/tex] and [tex]\(L = 8\)[/tex].

Now, substituting these values into the second equation:

[tex]\[ M + L = X \][/tex]

[tex]\[ 1 + 8 = 9 \][/tex]

So, [tex]\(M + L = 9\)[/tex].

In conclusion, she used:
- 1 medium cup ([tex]\(M = 1\)[/tex])
- 8 large cups ([tex]\(L = 8\)[/tex])

Therefore, the total number of cups is 9.

The completed equation is:

[tex]\[ M + L = 9 \][/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.