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Nadusha1986 [10]
3 years ago
6

9x+y=28 3x+3y=(-12) Solve using elimination

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

(x, y)=(4,-8)

Step-by-step explanation:

9x+y=28

3x+3y=-12 /:(-3)

9x+y=28.......(1)

-x-y=4......(2)

9x+y=28

(1)+(2): 8x=32

9x+y=28

x=32/8

9x+y=28

x=4

9*4+y=28

x=4

36+y=28

x=4

y=28-36

x=4

y=-8

x=4

(x, y) =(4,-8)

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2/3(3y+6)=0 Please help! One solution, No solution, or Many solutions? Please answer by 3:35, September 4, 2020
Serjik [45]

Answer:

one solution

Step-by-step explanation:

2/3(3y+6)=0

Multiply by 3/2

3/2 *2/3(3y+6)=0*3/2

3y+6 = 0

Subtract 6 from each side

3y = -6

Divide by 3

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There is one solution

6 0
3 years ago
If the nth term of an AP is (7-4n) then its common difference is​
Hitman42 [59]

Given nth term of an AP = 7-4n

Put n = 1 then t1 = 7-4(1) = 7-4 = 3

Put n = 2 then t2 =7-4(2) = 7-8 = -1

Common difference = t2-t1 = -1-3 = -4

3 0
3 years ago
Identify proportional realationships from graphs<br> There’s also a none option
kkurt [141]

Answer:

B is one is there anymore options

Step-by-step explanation:

3 0
2 years ago
Ms. Gadget car broke down on the turnpike. Acme town Ig charged $30 plus $3 per mile to tow the car. If ms. Gadget paid $162, ho
Reil [10]
The equation would be 30+3m=162 then you solve the problem
4 0
2 years ago
A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0
3 years ago
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