Souvenir hats, T-shirts, and jackets are sold at a rock concert. Three hats, two T-shirts, and one jacket cost $40. Two hats, two T-shirts, and two jackets cost $60. One hat and three T-shirts cost $10. Find the prices of the individual items. (you have to use substitution and/or elimination method, NO matrix or Graph.)

j = 24

t = 2

h = 4

Step-by-step explanation:

Three hats, two T-shirts, and one jacket cost $40.

3h + 2t + j = 40

Two hats, two T-shirts, and two jackets cost $60.

2h + 2t + 2j = 60

One hat and three T-shirts cost $10.

h + 3t = 10

3h + 2t + j = 40 (1)

2h + 2t + 2j = 60 (2)

h + 3t = 10. (3)

From (3)

h = 10 - 3t

Substitute into (1) and (2)

3(10 - 3t) + 2t + j = 40 (1)

2(10 - 3t) + 2t + 2j = 60 (2)

30 - 9t + 2t + j = 40

20 - 6t + 2t + 2j = 60

- 7t + j = 40 - 30

-4t + 2j = 60 - 20

-7t + j = 10 (1a)

-4t + 2j = 40 (1b)

Multiply (1a) by 2

-14t + 2j = 20

-4t + 2j = 40

Subtract to eliminate j

-4t - (-14t) = 40 - 20

-4t + 14t = 20

10t = 20

t = 20/10

t = 2

Substitute t = 2 into

h = 10 - 3t

h = 10 - 3(2)

= 10 - 6

= 4

h = 4

Substitute t = 2 and h = 4 into

3h + 2t + j = 40

3(4) + 2(2) + j = 40

12 + 4 + j = 40

16 + j = 40

j = 40 - 16

= 24

j = 24

look a the sides they are perpendicular

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.