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Shtirlitz [24]
3 years ago
5

Solve the system using elimination. 5x + 8y = –29 7x – 2y = –67

Mathematics
2 answers:
san4es73 [151]3 years ago
5 0

Answer:

(x,y) =( -9,2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation. Using the elimination method, multiply the second equation by 4, the result is

28x - 8y = -268

Add to the first equation given

5x + 28x + 8y - 8y = -29 -268

33x = -297

x = -297/33

= -9

substitute the value of x into  the first equation

5(-9) + 8y = -29

8y = -29 +45

8y = 16

y = 16/8

= 2

MA_775_DIABLO [31]3 years ago
3 0
First, multiply the second equation by 4 so that 8y can cancel out. Now you have
5x+8y=-29
and
28x-8y=-268
Add these equations to get 
33x=-297
Divide both sides by 33, and you have
x=-9
Now, simply solve for y by plugging it into an equation, and you have
y=2
The final answer is (-9,2)!
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Este famoso dibujo se encuentra en la biblioteca real De Turín. Esta realizado en tiza roja y mide 33 cm de alto y 21,6 cm de an
miss Akunina [59]
<h2>Respuesta:</h2>

1513

<h2>Explicación paso a paso:</h2>

En este problema, estamos hablando del autoretrato de Leonardo Davinci. Para la resolución de este problema, necesitamos usar el cuadrado mágico de forma tal que al colocar en cada casilla los números del 1 al 16 sin repetición, entonces los números de cada fila, columna y diagonal sumen 34. De esta manera, si se colocan los números así, el resultado obtenido es 34. En la figura de abajo se encuentra el cuadrado mágico resuelto:

Columna 1:

1 + 15 + 10 + 8 = 34

Columna 2:

3 + 13 + 6 + 12 = 34

Columna 3:

14 + 4 + 11 + 5 = 34

Columna 4:

16 + 2 + 7 + 9 = 34

Fila 1:

1 + 3 + 14 + 16 = 34

Fila 2:

15 + 13 + 4 + 2 = 34

Fila 3:

10 + 6 + 11 + 7 = 34

Fila 4:

8 + 12 + 5 + 9 = 34

Diagonal 1:

8 + 6 + 4 + 16 = 34

Diagonal 2:

1 + 13 + 11 + 9 = 34

Finalmente, esta pintura fue realizada en el año 1513, que son los números de las casillas en negro.

3 0
3 years ago
A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select ano
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Answer:

Step-by-step explanation:

Total fruits T= 5+7 = 12

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No. Of peaches n(P) = 7

P(A) 1st = n(A)/T = 5/12

P(P) 2nd = n(p)/(T-1) = 7/11

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Answer:

B.

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3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
tensa zangetsu [6.8K]

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

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Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

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6x + 5y = 16<br> −6x + 7y = 80
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The equation of the line in point-slope form is equal to

The equation of the line in standard form is equal to

step 1

Find the slope m

Let

step 2

convert to standard form

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