BNJ047idn
Answered

Discover how IDNLearn.com can help you learn and grow with its extensive Q&A platform. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

Two pairs of socks and a pair of slippers cost $30. Five pairs of socks and a pair of slippers cost $42. Let x represent the cost of a pair of socks and let y represent the cost of a pair of slippers.

Identify the system of equations that represents the situation and identify the solution to the system of equation.

Sagot :

Answer:

4, 22  See below

Step-by-step explanation:

2x + y = 30

5x + y = 42

Subtract the first from the second

3x = 12

x = 4 so socks cost $4

Put that into one of the original equations

2x + y = 30

2(4) + y = 30

8 + y = 30

y = 22 slippers cost $22

Answer:

y=22

Step-by-step explanation:

Take the second statement as equation 1 and the first statement as equation 2 and subtract to eliminate y:

5x + y = 42

-(2x + y = 30)

--------------------

3x   + 0 = 12      --> x = 4

substituting x = 4 into 2x + y = 30  --> 8 + y = 30   --> y = 22

(x,y) = (4,22)

checking by adding the two equations substituting in (4,22)

20 + 22 = 42

8 + 22  = 30

---------------------

28 + 44 = 72

   72 = 72       √

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.