The price of a sweater is $12 less than three times the price of a shirt. If three shirts and four sweaters cost $207. Find the price of each sweater and shirt.

a shirt costs $10.6 and a sweater costs $19.8

Step-by-step explanation:

w = price of sweater

s = price of shirts

w = 3s - 12

3s + 4w = 207

since w = 3s - 12 substitute it into the equation

3s + 4(3s - 12) = 207

3s + 12s - 48 = 207

15s - 48 = 207

     +48     +48

15s = 159

15     15

s = 10.6

substitute the value of s into any equation

w = 3s - 12

w = 3(10.6) - 12

w = 31.8 - 12

w = 19.8

hope this helps

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.