Clark spent a total of $38 on a pair of shoes and a new jacket. The shoes cost $6 more than the jacket. Write a system of equations to find the cost of the shoes x and the cost of the jacket y. Then find the cost of the shoes.

Equation 1: x + y = $38

Equation 2: x = y + $6

Replace x in the first equation with the second equation :

y + 6 + y = 38

Simplify:

2y + 6 = 38

Subtract 6 from both sides:

2y = 32

Divide both sides by 2:

Y = 16

Now you know y, the cost of the jacket is $16

The shoes were $6 more so 15 + 6 = $22

Jacket cost $16

Shoes cost $22

Shoes: $22

Jacket: $16

Divide 38 by 2, which is 19

take away half of 6, which is 3.

Take 3 from 19, resulting in 16 which is your jacket

Add 3 to 19, resulting in 22 which are your shoes

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: