Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
Answer:
3/10
Step-by-step explanation:
9-6=3
both fractions have the same denominator so they keep it
9/10 - 6/10 = 3/10
<h3>3/10 is also 0.33</h3>
Answer:
5>6
Step-by-step explanation:
Answer:
Rewrite the equation as
3
b
+
4
c
=
a
.
3
b
+
4
c
=
a
Subtract
4
c
from both sides of the equation.
3
b
=
a
−
4
c
Divide each term by
3
and simplify.
Tap for more steps...
b
=
a
3
−
4
c
3
Step-by-step explanation:
Answer:
5 + y ≥ 7
Step-by-step explanation:
"The sum of 5 and y"
The sum of two items will be the two items added, and in this case, it is 5 and y, or
5 + y.
"Greater than or equal to 7"
Here, use the symbol, ≥, and 7.
≥ 7
Combine those to get the final equation:
5 + y ≥ 7.
