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Ne4ueva [31]
2 years ago
5

Solve the system of equations.

Mathematics
2 answers:
Brums [2.3K]2 years ago
7 0
Solve the system of equations.
12x + 3y = 12
-6x +y = -26


A) (-3,9)
B (-6, -9)
© (-3,8)
D (3, -8)



12x + 3y = 12
2(-6x +y = -26)

12x + 3y = 12
-12x + 2y = -52

—-now x cancels out

5y/5 = -40/5

y = -8

The answer should be D. Let me know if you got it right.



Ainat [17]2 years ago
7 0

Answer:

12X +3y =12.....equation 1

-6x +y = -26....equation 2

putting the value

in equation 2 multiply by 2

12x +3y =12

-12x +2y = -52

____________

5y = -40

y = -40%5

y = -8

putting the value of y in equation 1

12x + 3y = 12

12x + 3× -8 =12

12x -24 =12

12x =12 + 24

12x =36

x =36%12

x=3

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The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
Troyanec [42]

Answer:

Area of each piece = 104 cm^{2}

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

Area = Length \times Width

Area = 26 \times 36 cm^2

Area of each smaller rectangle = \frac{26\times 36}{9} = 104\ cm^2

To find the possible dimensions, we need to find the factors of 104.

104 = 26 \times 4

104 = 13 \times  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

5 0
3 years ago
Simplify by dividing negative three over eight ÷ five over nine . (5 points)
Marysya12 [62]

Answer:

A.) negative twenty-seven over forty

Step-by-step explanation:

Screenshot below will explain the answer

8 0
3 years ago
If EG=67, then EF=?<br> There is a picture below
ikadub [295]
If EG=67 we have (3x+7)+(5x-4)=67
let's simplify
67 = (3x + 7) + (5x - 4) \\ 67 = 8x + 3 \\ 64 = 8x \\  \frac{64}{8}  = x \\ 8 = x
now we know x is 8 we can use this to find EF
since EF=3x+7
3(8) + 7 = 24 + 7 = 31
so we have EF is 31!
if.you like my answer please rate Brainliest
3 0
3 years ago
Read 2 more answers
The average rate of change of f(x)=3x+9 is 9. true or false?
MA_775_DIABLO [31]
The rate of change is the slope.
f(x) is the same as y...
f(x) = 3x + 9.....y = 3x + 9....and in y = mx + b form, the rate of change(slope) can be found in the m position.

y = mx + b
y = 3x + 9....so the slope or rate of change is 3...not 9...so answer is false
7 0
3 years ago
Juan earns a weekly salary of $310 plus a 5.5% Commission on sales at a local hardware store. How much would he earn in a week i
timofeeve [1]

Answer:

$590.50

Step-by-step explanation:

Juan earns $310 every week.

He earns 5.5% on merchandise sold.

On a week he sells $5100, we need to figure 5.5% of that amount and then add $310.


$5100

X  .055

______

$280.50 commission.

+ 310.00 salary for the week

_______

$590.50

8 0
3 years ago
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