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Tell whether each ordered pair is a solution of,6x-3y=24. 0,-8 ​

User Iikkoo
by
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2 Answers

5 votes

Answer: Yes (0,-8) is a solution

Explanation

Your teacher wants you to plug in x = 0 and y = -8

6x - 3y = 24

6(0) - 3(-8) = 24

0 + 24 = 24

24 = 24

We get the same number on both sides, which confirms that (x,y) = (0,-8) is a solution to 6x-3y = 24. There are infinitely many solutions. Each solution is a point on this line. Another solution is (4,0). I'll let the student confirm this claim.

User Papirrin
by
7.6k points
7 votes

Final answer:

The ordered pair (0, -8) is a solution to the equation 6x - 3y = 24, as substituting the values into the equation results in an equality (24 = 24).

Step-by-step explanation:

To determine if the ordered pair (0, -8) is a solution to the equation 6x - 3y = 24, we substitute the x-value and the y-value into the equation.

Substituting the values we get:
6(0) - 3(-8) = 24
0 + 24 = 24
24 = 24

Since both sides of the equation are equal, the ordered pair (0, -8) is indeed a solution to the equation.

User Nicolas Hauzaree
by
8.7k points

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