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3 years ago

5

CAN SOMEONE HELP PLZ

1 answer:

Vlad1618 [11]3 years ago

7 0

Answer:

Step-by-step explanation:

1)

The solution to the system (c , p) represent the cost of each hot cocoa is c and the cost of each pretzel is p

2)

Nothing changed just two equations were added to form another third equation which represent the total cost of 7 cups of hot cocoa and 8 pretzels

so the solution (c , p) would still be the same as the solution represents cost of each cup of hot cocoa c and cost of each pretzel p

3)

No adding both the equations does not help us solve the equation, It just forms another equation further making the question longer and the third equation is not needed because to solve a system of equations with 2 variables to equations are enough, in this case c and p To solve the system of equations we multiply the first equation with 2 and the second equation with 5 and then subtract equation 1 from equation 2

$Equation\ 1 \\\\5c+4p=18.40\\Multiplying\ it\ with\ 2\\10c+8p=36.8\\\\Equation\ 2\\\\2c+4p=11.20\\Multiplying\ equation\ 2\ with\ 5\\10c+20p=56\\\\Now\ subtract\ equation\ 2\ from\ equation\ 1\\\\10c-10c+8p-20p=36.8-56\\0-12p=-19.2\\-12p=-19.2\\p=-19.2/-12\\p=1.6\\$

Now for the value of c we insert the value of p in any equation, lets insert it in equation 1

$5c+4p=18.40\\5c+4(1.6)=18.40\\5c+6.4=18.40\\5c=12\\c=12/5\\c=2.4$

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