Question

Let x be the number of pages in the spell book and let y be the cost of printing the book. Write the system of equations that will determine the number of pages for which the companies will charge the same amount. Responses y is equal to 13 x plus 10 y is equal to 13 x minus 10 y is equal to 10 x minus 25 y is equal to 10 x plus 25 Skip to navigation

Answer 1

To find the number of pages where two companies charge the same for printing, we equate the two cost equations given and solve for x. Setting y = 13x + 10 equal to y = 10x + 25, we find that x, representing the number of pages, is 5.

Step-by-step explanation:

To determine the number of pages for which two companies will charge the same amount for printing a spell book, we need to find the point where the cost equations from both companies are equal. Here are the two given linear equations representing the cost of printing:

• Company A: y = 13x + 10
• Company B: y = 10x + 25

To find the number of pages where both companies charge the same price, we set the two equations equal to each other and solve for x:

• 13x + 10 = 10x + 25

Subtracting 10x from both sides:

• 3x + 10 = 25

Subtracting 10 from both sides:

• 3x = 15

Dividing by 3:

• x = 5

Thus, the number of pages for which both companies will charge the same amount is 5 pages.