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

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.