determine whether the following pairs is a solution of 4p-3p=22 ,(2,7)(-1,6)
Do you mean 4q-3p? If so, the first one fits the bill (i.e. 4x7 - 3x2 = 22). And did you mean to include more than just two pairs of points?
elimination method
2r-7s =-1
7r+2s=23
_________
9r -5s= 22
To determine whether a given pair is a solution to an equation, substitute the values from the pair into the equation and see if the equation holds true.
Let's start with the first pair, (2,7), and substitute these values into the equation 4p - 3p = 22:
4p - 3p = 22
(4 * 2) - (3 * 7) = 22
8 - 21 = 22
-13 = 22
Since -13 is not equal to 22, the equation does not hold true for the first pair (2,7). Therefore, the first pair is not a solution to the equation 4p - 3p = 22.
Now let's check the second pair, (-1,6):
4p - 3p = 22
(4 * -1) - (3 * 6) = 22
-4 - 18 = 22
-22 = 22
Again, we see that -22 is not equal to 22, so the equation does not hold true for the second pair (-1,6). Therefore, the second pair is not a solution to the equation 4p - 3p = 22.
In conclusion, neither of the given pairs, (2,7) and (-1,6), is a solution to the equation 4p - 3p = 22.