100pts: Let x and y be integers such that 17 is a factor of (3x + 5y). Prove that 17 is also a factor of (8x + 19y).

17 is a factor of (8x+19y)

Step-by-step explanation:

Given, 17 is a factor of (3x+5y)

Then,

3x+5y = 17r       [where r is an integer]

⇔5y=17r-3x

∴8x+19y

Which shows that 17 is a factor of (8x+19y)

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

i think it is 18

step-by-step explanation: