Answer:
10 and 14
Step-by-step explanation:
Let the first number be x and the second number be y, then
x + 18 = 2y → (1)
y + 16 = 3x → (2)
Rearrange (1) expressing x in terms of y by subtracting 18 from both sides
x = 2y - 18 → (3)
Substitute x = 2y - 18 into (2)
y + 16 = 3(2y - 18) ← distribute
y + 16 = 6y - 54 ( subtract 6y from both sides )
- 5y + 16 = - 54 ( subtract 16 from both sides )
- 5y = - 70 ( divide both sides by - 5 )
y = 14
Substitute y = 14 into (3) for corresponding value of x
x = (2 × 14) - 18 = 28 - 18 = 10
The 2 numbers are 10 and 14
Answer: y - 6 = -5/3 ( x + 2)
Step-by-step explanation:
slope = -5/3
point on line = (-2, 6)
Answer: Choice A) 8
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If you plot all of the points, you'll see they all fall on the same straight line. The slope of this line is m = -4
Each time x increases by 1, y decreases by 4
Going in reverse, if we decrease x by 1, then we increase y by 4
So the pair (x,y) = (1,4) shown in row 2 will lead to (0,8) if we use the trick of increasing y by 4 when decreasing x by 1.
Another way to see this is to use m = -4 with (x,y) = (1,4) and you'll find that b = 8. So the equation of this line is y = -4x+8
Or you can use a graphical method to find the y intercept
Either way, the answer is 8. This is where the graph crosses the y axis.
Answer: For the first one, s= -2
Second one, s=-4
Third one, q= -3
Step-by-step explanation: