All categories

3 years ago

Solve each system by elimination -4x+y=-10 6x-y=16

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

The y variable in both equations are opposites. So, we can add the two systems together to eliminate y and solve for x.

-4x + y = -10

6x - y = 16

2x = 6

2 × 3 = 6.

x = 3. Now we have to solve for y. Let's use 6x - y = 16.

6(3) - y = 16

18 - y = 16

18 - 2 = 16, so y = 2.

x = 3

y = 2.

Or if you have to put it in coordinate form: (3, 2)

You might be interested in

A baseball is thrown into the air and follows a parabolic path given by the equation s = -16t 2 + v0t, where s is feet above gro

Alla [95]

Answer: 64 ft

Step-by-step explanation:

We are given the following equation that models the baseball's parabolic path:

$s=16t^{2}+V_{o}t$ (1)

Where:

$s$ is the ball maximum height

$t$ is the time

$V_{o}=64 ft/s$ is the initial height

With this information the equation is rewritten as:

$s=16t^{2}+(64)t$ (2)

Now, we have to find $t$ , and this will be posible with the following formula:

$V=V_{o}-gt$ (3)

Where:

$V=0 ft/s$ is the final velocity of the ball at the point where its height is the maximum

$g=32 ft/s^{2}$ is the acceleration due gravity

Isolating $t$ :

$t=\frac{V_{o}}{g}$ (4)

$t=\frac{64 ft/s}{32 ft/s^{2}}$ (5)

$t=2 s$ (6)

Substituting (6) in (2):

$s=16 ft/s^{2}(2 s)^{2}+(64 ft/s)(2 s)$ (7)

Finally:

$s=64 ft$

7 0

3 years ago

How to be a successful student?

SashulF [63]

Answer:

If you want to be a successful student, read below! :)

Step-by-step explanation:

First, listen to the teacher.

Second, don't be late.

Third, don't talk back.

Fourth, don't be disrespectful.

Fifth, don't cause commotions on purpose.

Sixth, do your assignments/tests/quizzes on time

If your teacher is normal, then these tips should help, I am the top student in my class and this is what I do.

Hope this helped!

5 0

3 years ago

Read 2 more answers

Find f(-7) if f(x) = 2x + 8.

k0ka [10]

Sub in -7 for x to get 2(-7)+8 which is -14+8=-6. f(-7)= -6

3 0

4 years ago

What is the answer to this?

NARA [144]

Answer:

See work for 3 answers

Step-by-step explanation:

You can add the exponents

$(-8)^{12}$

also could be stated as

$(8)^{12}$

numerical value

6.87194767 × $10^{10}$

5 0

4 years ago

Ok trick question

Zigmanuir [339]

All months have 28 days

8 0

4 years ago

Read 2 more answers