Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
Show the solution graphically.

Point (2, 4)

Step-by-step explanation:

Let x be the number of pants and y be the number of shirts

x + y = 6

20x + 15y = 100

multiply the first equation by -20

-20x -20y = -120

20x + 15y = 100

subtract the equations

-5y = -20

y = 4

replace y in equation 1

x + 4 = 6

x = 2

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions