determine if ( 5/6,-2) is a solution to -6x -7y - 9
To determine if the point (5/6, -2) is a solution to the equation -6x - 7y - 9, substitute the values of x and y from the point into the equation and check if both sides are equal.
Let's substitute the x-value, which is 5/6, and the y-value, which is -2, into the equation:
-6(5/6) - 7(-2) - 9
To simplify the equation, we multiply:
-5 - (-14) - 9
Simplifying further:
-5 + 14 - 9
Now, we perform the addition and subtraction:
9 - 9
Finally, we have the result:
0
If the equation on the left side of the equation equals the value of 0, then the point (5/6, -2) is a solution to the given equation of -6x - 7y - 9.
Therefore, (5/6, -2) is a solution to the equation -6x - 7y - 9.