Question

two sweaters and three scarves cost 54$ five sweaters and a scarf cost 83$ what is the price of one sweater and one scarf seperatley

Answer 1

Answer:
One sweater is $15; one scarf is $8

Step-by-step explanation:
x = # of sweaters
y = # of scarves

2x + 3y = 54
5x + y = 83

2x + 3y = 54
-3(5x + y = 83)

2x + 3y = 54
-15x - 3y = -249

y values cancel out so:

-13x = -195
x = 15

Each sweater is $15. To find the price of one scarf, plug x = 15 in either equation.

2(15) + 3y = 54
3y = 24
y = 8

Each scarf is $8.