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If a ordered pair is a solution to the Equation, then it must satisfy the Equation

Let us check the Ordered pairs (4 , 9) and (3 , 2)

Given Equation : 7x - y = 19

Checking whether ordered pair (4 , 9) satisfies :

⇒ 7(4) - 9 = 19

⇒ 28 - 9 = 19

⇒ 28 = 28

⇒ Ordered pair ( 4 , 9) satisfies the Equation

Checking whether (3 , 2) satisfies the Equation :

⇒ 7(3) - 2 = 19

⇒ 21 - 2 = 19

⇒ 19 = 19

⇒ Ordered pair (3 , 2) satisfies the Equation

So, (4 ,9) and (3 ,2) are the Ordered pairs which are solutions to the given Equation.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.