6x+7y=32 and 2x+5y=16
if you add the two equations you get the first answer and if you subtract the two equations you get the second answer
Answer:
<em>The price is the same at both stores for 2 prints.</em>
Step-by-step explanation:
<u>Equations</u>
Let's set the variable
x = number of photo prints
Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:
PP = 6 + 2x
Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:
PT = 4 + 3x
It's required to find the number of prints that make both stores charge the same. Equating both functions:
6 + 2x = 4 + 3x
Subtracting 2x and 4:
x = 2
The price is the same at both stores for 2 prints.
(3x) + (x+60) = 180
4x + 60 = 180
Subtract 60 from both sides
4x = 120
Divide 4 from both sides
x = 30
Hope this would help you!!!
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
More can be learned about proportional relationships at brainly.com/question/10424180
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