The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.
<h3>What is a solution to a system of equations?</h3>
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
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