harry had $32. he spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. if harry had bought five notebooks and five packs of index cards, he would have run short by $18. the following system of equations models this scenario:

3x + 4y = 32
5x + 5y = 50

use the system of equations to solve for x and y.

x = 8

y = 2

Step-by-step explanation:

Given that:

3x + 4y = 32   eq1

5x + 5y = 50 eq2

From taking 5 common from eq2:

x + y = 10

Or it can also be written as:

x = 10 - y eq3

Now put this value of x in eq1

3(10 - y) + 4y = 32

By simplifying:

30 - 3y +4y= 32

30 +y = 32

Subtracting 30 from both sides:

y = 32 - 30

y = 2

Putting value of y in eq 3

x = 10 - 2

x = 8

i hope it will help you!

1 is b and 2 is d

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,