Question

Question 1
One large jar and two small jars together can hold 8 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Use the given matrix equation to solve
for the number of ounces of jam that each jar can hold. Explain the steps that you took to solve this problem.

Answer 1

The number of ounces of jam that each jar can hold is 4 large jars and 2 small jars

How to solve for the variables?

The matrix is given as:

$\left[\begin{array}{cc}1&2&1&-1\end{array}\right] \left[\begin{array}{c}l&s\end{array}\right] = \left[\begin{array}{c}8&2\end{array}\right]$

Evaluate the product of the matrices

$\left[\begin{array}{c}l+ 2s&l -s\end{array}\right] = \left[\begin{array}{c}8&2\end{array}\right]$

By comparing the equations, we have:

l + 2s = 8

l - s = 2

Subtract the second equation from the first, to eliminate l

3s = 6

Divide both sides by 3

s = 2

Substitute 2 for s in l - s = 2

l - 2 = 2

Add 2 to both sides

l = 4

Hence, the number of ounces of jam that each jar can hold is 4 large jars and 2 small jars

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https://brainly.com/question/11989522

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Answer 2

The number of ounces of jam that each jar can hold is 4 large jars and 2 small jars.

What is Matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Here, from the given matrix by comparing the equations, we have:

l + 2s = 8    ...........(i)

l - s = 2      .............(ii)

Subtract the second equation from the first, to eliminate l

3s = 6

s = 2

Substitute 2 for s in l - s = 2

l - 2 = 2

Add 2 to both sides

l = 4

Thus, the number of ounces of jam that each jar can hold is 4 large jars and 2 small jars.

Learn more about matrix from:

brainly.com/question/11989522

#SPJ1