DETERMINE SO THAT 5X+KY=8 WILL PASS THROUGH (4,3)

I assume we are to find out what k must be so that the straight line

5 x + k y = 8
goes through x=4 and y=3
To do that put 4 in for x and 3 in for y
5(4) + k(3) = 8
solve that for k

There was a man that had 7 apples. A kid stole 3 apples of the man's. How many does the man have know?

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If he ate none.

4 apples left

To determine the value of the constant k that will make the equation 5x + ky = 8 pass through the point (4, 3), you can substitute the x and y values of the point into the equation and solve for k.

Given equation: 5x + ky = 8
Substituting x = 4 and y = 3:
5(4) + k(3) = 8
20 + 3k = 8
3k = 8 - 20
3k = -12
k = -12/3
k = -4

Therefore, the value of k that will make the equation 5x + ky = 8 pass through the point (4, 3) is k = -4.