Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
The rate of change of the relationship is 6/5
<h3>Rate of change of a line</h3>
The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:
Slope =y2-y1/x2-x1
Given the coordinate points (-3,-2) and (2, 4). On substituting;
Slope = 4-(-2)/2-(-3)
Slope =4+2/2+3
Slope = 6/5
Hence the rate of change of the relationship is 6/5
Learn more on rate of change here: brainly.com/question/25184007
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Answer:
2+4 6(8)
Step-by-step explanation:
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Answer: 17/20
<u>Divide</u>
34/40 ÷ 2/2 = 17/20
Divide each side by 2 so it'll be 2/2.
