Determine whether the ordered pair is a solution of the inequality. (6,20); 6y-7x>7
6(20) - 7(6)
120 - 42
78
which is certainly greater than 7
6y=7x–4
To determine whether the ordered pair (6, 20) is a solution of the inequality 6y - 7x > 7, we can substitute the values of x and y into the inequality and check if it holds true.
Step 1: Substitute the values x = 6 and y = 20 into the inequality.
6(20) - 7(6) > 7
Step 2: Evaluate the expression.
120 - 42 > 7
Step 3: Simplify the expression.
78 > 7
Step 4: Determine if the inequality is true.
Since 78 is greater than 7, the inequality is true.
Therefore, the ordered pair (6, 20) is a solution of the inequality 6y - 7x > 7.
To determine whether the ordered pair (6,20) is a solution to the inequality 6y - 7x > 7, we need to substitute the values of x and y from the ordered pair into the inequality and check if the inequality holds true or false.
Let's substitute x = 6 and y = 20 into the inequality:
6y - 7x > 7
Replace y with 20 and x with 6:
6(20) - 7(6) > 7
Now simplify the equation:
120 - 42 > 7
78 > 7
Since 78 is indeed greater than 7, the inequality holds true.
Therefore, the ordered pair (6,20) is a solution to the inequality 6y - 7x > 7.