Answer:
2kx+4y=20 ⇒ kx+2y=10
3x+6y=30 ⇒ x+2y= 10
k is the coefficient of x, so it is the slope of the line
- when k=1, both equations will be same, then there are many solutions
- when k=0 there is one solution
- when k is anything different, then the lines will be parallel, so no solutions
Answer:
(1,3)
Step-by-step explanation:
y = 2x+1
y = 4x-1
Since both equations are equal to y, we can set them equal to each other
2x+1 = 4x-1
Subtract 2x from each side
2x+1-2x = 4x-2x-1
1 = 2x-1
Add 1 to each side
1+1 = 2x-1+1
2 = 2x
Divide each side by 2
2/2 = 2x/2
1 =x
Now we need to find y
y = 2x+1
y = 2(1)+1
y =3
Answer:
Variation equation: y = k/√x
constant of variation: 200
Variation Equation by plugging the value of k: y = 200/√x
Step-by-step explanation:
If y varies inversely with the SQUARE ROOT of x, then;
y = k/√x
If x = 4, y = 100.
100 = k/√4
100 = k/2
200 = k
k = 200
Substitute into the expression
y = k/√x
y = 200/√x
Answer:
The second equation is correct.
y=2.25x + 4
Step-by-step explanation:
We can systematically eliminate the others.
For equation 3 and 4, 6.5*2 and 12*x is already bigger than 8 of the first set of numbers.
For equation 1, 2*x+8.5 is also bigger than 8 from the first set.
Plugging in the values to equation 2, we always get the correct cost.
