All categories

3 years ago

Solve the system by elimination method. x+y-6=0

2 answers:

4 0

X + y - 6 = 0
Take out y.
x - 6 = 0
Add 6 to both sides.
x = 6 is your first equation.

x - y - 8 = 0
Take out y.
x - 8 = 0
Add 8 to both sides.
x = 8 is your second equation.

I hope this helps!

Cerrena [4.2K]3 years ago

3 0

Answer:

The answer is x=7

and y=-1

On eliminating y the resulting equation is 2x=14

Step-by-step explanation:

Given x+y-6=0 ...........[1]

and x-y-8=0 ...............[2]

On eliminating y in eq [1]

y=6-x

Putting value of y in eq [2]

x-(6-x)-8=0

x-6+x-8=0

2x-14=0

2x=14

x=7

Putting x=7 in [1]

7+y-6=0

y+1=0

y=-1

You might be interested in

Which pair of terms can be used to represent any two consecutive odd numbers?

ehidna [41]

Answer:

x and 2x+1

Step-by-step explanation:

5 0

2 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

Using the approximation 3.14 for \pi what is the radius of a circle with circumference 75.4m

Charra [1.4K]

Answer:

The radius of the circle is 12.006 m.

Step-by-step explanation:

Let us assume the radius of the circle = r

Circumference = 75.4 m

Now, CIRCUMFERENCE OF A CIRCLE = 2 π r

⇒ 75 .4 m = 2 π r

Now, putting π = 3.14, we get:

75 .4 m = 2 (3.14) r

⇒ 75.4 = 6. 28 r

or, r = 75.4/6.28 = 12.006

or, r = 12.006 m

Hence, the radius of the circle with circumference 75.4 m is 12.006 m.

3 0

3 years ago

What’s the volume of the rectangular prism of 2cm, 7/3 cm and 2cm?

Eduardwww [97]

Answer:

9 1/3 cm³

Step-by-step explanation:

First multiply two numbers.

2x2=4

Then multiply the product by the third number.

4x7/3

4 x 7

1 x 3

= 28/3 or 9 1/3

hope it helps

3 0

3 years ago

Plz, HELP me with this question!

vodomira [7]

Answer:

Experimental property.

Step-by-step explanation:

I say this because the experimental probability is the actual result of an experiment, which may be different from theoretical probability. Theoretical probability is determined by thinking, and what you think the outcome will be.

7 0

3 years ago

Read 2 more answers