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3 years ago

Which equation results from adding the equations in this system? x+6y=9 and -x+2y=-15

Mathematics

2 answers:

IgorC [24]3 years ago

5 0

Answer:

8y=-6 or 4y=-3

Step-by-step explanation:

We are given two equations

$x+6y=9\\and\\-x+2y=-15$

In order to add the equations, the left hand side of one equation will be added to the left hand side of second equation. similarly, the right hand side of first equation will be added to the right hand side of the equation so,

$x+6y+(-x+2y)=9+(-15)\\Combining\ alike\ terms\\x+6y-x+2y=9-15\\6y+2y=-6\\8y=-6\\Can\ also\ be\ written \ as\\4y=-3$

AURORKA [14]3 years ago

3 0

Answer:

The resultant equation is 8y = -6

Step-by-step explanation:

To get the system of equation that will results from adding the statement, we will follow the steps below;

x+6y=9 -------------------------------------------------------------------------------(1)

-x+2y=-15-------------------------------------------------------------------------------(2)

Adding equation (1) and equation(2), we will have;

(1-1)x + (6+2)y =(9-15)

x variable will go away

8y =-6

The resultant equation is 8y = -6

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A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.

zhannawk [14.2K]

Answer:

Width = 4.8 inches

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

$P=2l+2w$

Where

P is perimeter

l is length

w is width

Given length = 3.6 and perimeter = 16.8, we plug them in into the formula and figure out the width, w. Process shown below:

$P=2l+2w\\16.8=2(3.6)+2w\\16.8=7.2+2w\\16.8-7.2=2w\\9.6=2w\\w=\frac{9.6}{2}\\w=4.8$

Hence, the width is 4.8 inches

3 0

3 years ago

Which expression is equivalent to 2g53 4h23<br>

romanna [79]

Answer:

girl are u crazy

Step-by-step explanation:

3 0

3 years ago

Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.

shtirl [24]

Answer:

$3y-2x=16+12i$

$-3x \cdot y=6+48i$

$x \cdot 2y=-4-32i$

$x-y=-6-5i$

Step-by-step explanation:

Given:

$x=-2-3i$

$y=4+2i$

---

1st problem:

$3y-2x$

$3(4+2i)-2(-2-3i)$

Distribute:

$12+6i+4+6i$

Combine like terms:

$16+12i$

---

2nd problem:

$-3x \cdot y$

$-3(-2-3i) cdot (4+2i)$

$-3(-2-3i)(4+2i)$

Distribute -3 to first factor:

$(6+9i)(4+2i)$

Use foil to simplify:

$24+12i+36i+18i^2$

Replace $i^2$ with -1:

$24+48i-18$

Combine like terms:

$6+48i$

---

3rd problem:

$x \cdot 2y$

$(-2-3i) \cdot 2(4+2i)$

Distribute 2 to the second factor:

$(-2-3i) \cdot (8+4i)$

$(-2-3i)(8+4i)$

Use foil to simplify:

$-16-8i-24i-12i^2$

Replace $i^2$ with -1:

$-16-32i+12$

Combine like terms:

$-4-32i$

----

4th problem:

$(-2-3i)-(4+2i)$

Distribute:

$-2-3i-4-2i$

Combine like terms:

$-2-4-3i-2i$

Simplify:

$-6-5i$

6 0

3 years ago

Read 2 more answers

Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.

mylen [45]

Answer:

f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

f(n) = an^2 +bn +c

Then we have ...

f(1) = 1 = a(1^2) +b(1) +c

f(2) = -5 = a(2^2) +b(2) +c

f(3) = -13 = a(3^2) +b(3) +c

Here's a way to solve these equations.

Subtract the first equation from the second:

-6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

-8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

-2 = 2a

a = -1

Then substituting into the 4th equation to find b, we have ...

-6 = 3(-1) +b

-3 = b

and ...

1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

5 = c

The formula is ...

f(n) = -n^2 -3n +5

3 0

3 years ago

3.2

Varvara68 [4.7K]

Answer:

35/132.

Step-by-step explanation:

There are a total of 12 balls. So:

Prob(First is green) = 5/12.

After the first selection there are 11 balls left.

Prob(The second is red) = 7/11.

The required probability = 5/12 * 7/11

= 35/132.

Note: the probabilities are multiplied because the 2 events are independent.

3 0

3 years ago