Question

The cost p of making n articles is given by p=x+yn where x and y are constants. The cost of making 7 articles is 29 and the cost of making 5 articles is 21.solve the equations to find the values of x and y​

Answer 1

Answer: The values of x and y are x = 16 and y = 4

Step-by-step explanation:

We can use the information given to set up two equations, as follows:

p = x + 7y = 29 (the cost of making 7 articles)

p = x + 5y = 21 (the cost of making 5 articles)

We can then solve for x and y using either substitution or elimination method.

Substitution method:

Solving the first equation for x:

x = 29 - 7y

Then substitute this value of x into the second equation:

29 - 7y = 21 + 5y

Solving for y:

y = 4

Now we can substitute this value of y back into the first equation:

x = 29 - 7(4) = 5

So the values of x and y are x = 5 and y = 4

elimination method:

Subtracting the second equation from the first:

x = 8 + 2y

Now we can substitute this equation into the first equation:

29 = 8 + 2y + 7y

Solving for y:

y = 4

Now substitute this value of y back into the first equation:

x = 8 + 2(4) = 16

So the values of x and y are x = 16 and y = 4.

Note that both methods give the same solution, but the values of x are different because the two equations are not independent and therefore not the same.