A basketball player hit the basket eighteen times during the game. He scored a total of 30 points, two points for each field goal and one point for each free throw. If he threw 6 more field goals than free throws, how many field goals did he make? How many free throws did he make -Pls provide work :)

He made 6 free throws and 12 field goals.

Step-by-step explanation:

Let x = Number of free throws

Then, Number of field goals = x+6

Number of times player hit the basket = 18

According to the question,

x+(x+6)=18

⇒ x+x+6=18

⇒ 2x+6=18

⇒ 2x=18-6

⇒ 2x=12

⇒ x=6              [Divide both sides by 2.]

So, he made 6 free throws and (6+6=) 12 field goals.

6 throws and 12 goals.

Step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is