Question

Jake bought 2 shirts and 1 pair of pants for $6. Mike bought 1 shirt and 1 pair of pants for $4. How much is each shirt and each pair of pants? The system of equations used to solve this would be:
2x + y = 6

x + y = 4


a. Shirt=$3 Paint=$1

b. Shirt=$2 Paint=$2

c. Shirt=$1 Paint=$3

d. Shirt=$0 Paint=$4

Answer 1

The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.

What is a solution to a system of equations?

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

Let x represent the cost of a shirt, while y represent the cost of a pair of pants.

Given that Jake bought 2 shirts and 1 pair of pants for $6. Therefore, the equation that represents this situation is,

2x + y = 6 ..... equation 1

Also, Mike bought 1 shirt and 1 pair of pants for $4. Therefore, the equation that represents this situation is,

x + y = 4

Solve the equation for x,

x = 4 - y

Substitute the value of x in equation 1,

2x + y = 6

2(4 - y) + y = 6

8 - 2y + y = 6

-y = 6 - 8

-y = -2

y = 2

Substitute the value of y in equation 1,

2x + y = 6

2x + 2 = 6

2x + 2 = 6

2x = 6 - 2

2x = 4

x = 4/2

x = 2

Hence, the cost of a shirt and a pair of pants is the same and is equal to $2.

Learn more about finding the solution graphically here:

brainly.com/question/26254258

#SPJ1