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matrenka [14]
3 years ago
12

Please help me solve these equations. Very confusing.

Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Step-by-step explanation:

1A (3,-2)

1B

By substitution

4x - 3y = 18 \\ 2x + y = 4 \\ y = 4 - 2x \\ 4x - 3(4 - 2x) = 18 \\ 4x - 12 + 6x = 18 \\ 10x = 30 \\ x = 3 \\ y = 4 - 2(3) \\ y = 4 - 6 =  - 2

1C

By elimination

(4x - 3y = 18)  -2 \times   (2x + y = 4)  \\( 4x - 3y = 18) - (4x  +  2y = 8) \\  - 5y = 10 \\ y =  - 2 \\ 4x - 3 \times ( - 2) = 18 \\ 4x  + 6 = 18 \\ 4x = 12 \\ x = 3

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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
What is the Midpoint of CD given the coordinates C(-4,8) and D(8,-4)??
alina1380 [7]
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(2 , 2)

3 0
3 years ago
Read 2 more answers
The sum of three odd consecutive numbers is fifty-one. What are the numbers?
Fantom [35]

Answer:

15,17,19

Step-by-step explanation:

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Hope this helps!

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7 0
3 years ago
Help Me with this question please​
artcher [175]

Answer:

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4 0
3 years ago
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A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Serjik [45]
We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
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sin 35° = h/(75 ft)

Solving for h:
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Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
8 0
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