Solve the following systems of equations. State if they have 1solution, no solutions, or an infinite number of solutions
1 answer:
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Answer:
The cost of a roll of toilet paper is <u>$2</u> and the cost of a bottle of hand sanitizer is <u>$4</u>.
Step-by-step explanation:
Given:
Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.
Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.
Now, to find the cost for each item sold.
Let the cost of a roll of toilet paper be
And the cost of a bottle of hand sanitizer be
So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:
Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:
Substituting the value of from equation (1):
<em>Subtracting both sides by 60 we get:</em>
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<em>Dividing both sides by -14 we get:</em>
<u>The cost of a roll of toilet paper = $2.</u>
Now, substituting the value of in equation (1):
<u>The cost of a bottle of hand sanitizer = $4.</u>
Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.