Factor out the common term 2
2(2x + y) = -2
Divide both sides by 2
2x + y = -1
Subtract 2x from both sides
<u>y = -1 - 2x</u>
The volume for a cube is the cube of any side. side^3
If each sides measures 1 foot, the volume would be 1 ft^3.
Y=mx+b
m=slope
b=y intercept
we are given (3,-1)
one solution is x=3 and y=-1 or
when x=3 then y=-1
also slope=2
so
y=2x+b
subsitue 3 for x and -1 for y and solve for b
-1=2(3)+b
-1=6+b
subtract 6
-7=b
y=2x-7 is equation
answer is number 4
1. y=6
2. y=-12
Step-by-step explanation:
<u>1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.</u>
It is given that
y varies inversely as x
IT will be written as:
y∝1/x
Removing the proportionality symbol
y=k/x
Given
y=3 , x=-2
Putting the values
3=k/-2
k=3*-2 = -6
The equation will be:
y=-6/x
So,
When x=-1

<u>2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4</u>
y is directly proportional to x
y∝x
y=kx
Given
y=15, x=-3
Putting the values

Hence,
1. y=6
2. y=-12
Keywords: Proportion, Variation
Learn more about proportion at:
#LearnwithBrainly
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:

You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:

2. Substitute it into the first equation and solve for "m":

3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:
