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Rom4ik [11]
3 years ago
13

Solve each system by substitution 2x - 3y = -1 X + 4y = -6

Mathematics
1 answer:
lord [1]3 years ago
3 0

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

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Somebody help<br> 7x - [4x-3(x-1)]=x+ 12
Georgia [21]

Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

7x + [3 * -1 + 1x * -1] = x + 12

7x + [-3 + -1x] = x + 12

Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

7 0
3 years ago
M – 1, for m = 0 i need it in a sentence
gregori [183]

Answer:

0-1 = -1

Step-by-step explanation:

if m equals 0 the answer is -1

5 0
3 years ago
The dot plot shows the number of pencils each boy has at his desk in class.
Elanso [62]

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

3 0
3 years ago
2 cars c and d started to move to each other car c was 118 miles from Boston car d was 256 miles from Boston car c was going twi
Vadim26 [7]

Answer:

131.3 miles

Step-by-step explanation:

The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.

Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:

d₁ + d₂ = 374 miles       (1)

Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence

For car c:

2x = d₁/t

t = d₁ / 2x

For car d;

x = d₂/t

t = d₂/ x

Since it takes both cars the same time to meet at the same point, therefore:

d₁/2x = d₂ / x

d₁ = 2d₂

d₁ - 2d₂ = 0         (2)

Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles

Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles

7 0
3 years ago
Evaluate the expression. 2.15(3)2
Jet001 [13]

Answer: 12.9

Step-by-step explanation: When any number is in parenthesis, you multiply it by the other numbers/variables.

7 0
3 years ago
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