Manuel and sonja are shopping for school supplies. manuel is buying 5 notebooks and 3 pens at a cost of $21. sonja is buying 6 notebooks and 5 pens at a cost of $28. the first equation, representing manuel’s purchase, is mc015-1.jpg. what is the second equation needed to solve the system?

Second equation is 6x + 5y = 28

Step-by-step explanation:

Let x is the cost of notebooks and y is the cost of pens.

Now we know Manuel is buying 5 notebooks and 3 pens at a cost of $21.

To represent this statement equation is 5x + 3y = 21

Similarly we will form the second equation to solve the system of equations.

Cost of 6 notebooks = 6x

Cost of 5 pens = 5y

Total cost of 6 notebooks and 5 pens = $28

So 6x + 5y = 28 will be the second equation.

By solving this system of equations we can find the cost of notebook as well as cost of pen purchased by Manuel.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

step-by-step explanation:

in which figure is point g a centroid