#1 Please help solve this

For each pair (x,y) we check 5x-4y and if it's 17 we check YES otherwise NO.
(2,9) 5(2) - 4(9) = 10 - 36 = -26 NO
(-3,-8) 5(-3) - 4(-8) = -15 + 32 = 17 YES
(1,-3) 5(1) - 4(-3) = 5 + 12 = 17 YES
(-6,2) 5(-6) - 4(2) = -30 - 8 = -38 NO
Answer:
(2, 9) ................NO
(-3 , -8) ............YES
(1, -3) ...............YES
(-6, 2) ...............NO
Step-by-step explanation:
5x - 4y = 17
To check if a particular number is a solution, just substitute the value of x and y.
i. (2,9)
5x - 4y = 17
5*2 - 4*9 =
10 - 36 ≠ 17 (NOT A SOLUTION)
ii. (-3, -8)
5x - 4y = 17
5*-3 - 4*-8 =
-15 + 32 = 17. (A SOLUTION)
iii. (1, -3)
5x - 4y = 27
5*1 - 4*-3 =
5 + 12 = 17. (A SOLUTION)
iv. (-6, 2)
5x - 4y= 17
5*-6 - 4*2 =
-30 - 12 ≠ 17. (NOT A SOLUTION)
Math is truly fun