To determine if a given point is a solution to the equation 9x - 2y = 17, we substitute the values of x and y into the equation and check if the equation holds true.
1) For the point (4, -1):
9(4) - 2(-1) = 36 + 2 = 38 ≠ 17
Therefore, (4, -1) is not a solution to the equation.
2) For the point (-5, -3):
9(-5) - 2(-3) = -45 + 6 = -39 ≠ 17
Therefore, (-5, -3) is not a solution to the equation.
3) For the point (3, 5):
9(3) - 2(5) = 27 - 10 = 17
Therefore, (3, 5) is indeed a solution to the equation.
4) For the point (0, 6):
9(0) - 2(6) = 0 - 12 = -12 ≠ 17
Therefore, (0, 6) is not a solution to the equation.
Out of the given points, only (3, 5) is a solution to the equation.
Is it a solution? 9x - 2y = 17
yes or no?
4,-1
-5,-3
3,5
0,6
1 answer