Answer:
The solution of the system is (6, 9).
Step-by-step explanation:
Solve one of the variables and substitute the answer for the other variable.
Select one of the problems and solve for x.
3x+y=27
Subtract y from both sides.
3x+-y=27
Divide both sides by three.
x=1/3(-y + 27)
Multiply 1/3 by -y + 27.
x = -1/3y + 9
Replace -y/3 + 9 for x in the other problem 3x-2y=0.
3(-1/3y + 9) - 2y = 0
Multiply 3 by -y/3 + 9.
−y+27−2y=0
Add -y to -2y.
−3y+27=0
Subtract 27 from both sides of the problem.
−3y=−27
Divide both sides by −3.
y=9
Replace 9 for y in x=−1/3y+9.
x=−1/3*9+9
Multiply −1/3 times 9.
x=-3+9
Add 9 to -3.
x = 6.
x = 6, y = 9.
Answer:
A line passing through (1, 3) and (5, 11)
Rate of change = 2
Step-by-step explanation:
- <em>Rate of change = change in y / change in x</em>
- <em>r = Δy/Δx</em>
<u>Let's get the rate of change for each line:</u>
A line passing through (-1, 4) and (1, 7).
- r = (7 - 4) / (1 -(-1)) = 3/2
A line passing through (1, 3) and (5, 11).
- r = (11 - 3) / (5 - 1) = 8/4 = 2
A line passing through (1, 1) and (4, -3).
- r = (- 3 - 1) / (4 - 1) = -4/3
A line passing through (0, 6) and (12, 9)
- r = (9 - 6) / (12 - 0) = 3/12 = 1/4
<u>Comparing the values of r, we can see the greatest one is</u> 2 for the line passing through (1, 3) and (5, 11)
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5
The constant of proportionality is 7
$138.78 is the rounded figure
