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3 years ago

Y=-3x y=6x-9 in substitution method

2 answers:

8 0

Hi

y = -3x
y = 6x-9 ⇒

y = 6x-9 ⇒ -3x = 6x-9 ⇒ -3x-6x = -9 ⇒ -9x = -9 ⇒ x = -9/-9 ⇒ x = 1

y = -3x
y = -3(1)
y = -3

Answer: x = 1 and y = -3

Anna007 [38]3 years ago

6 0

The two equations given in the question are
y = - 3x
And
y = 6x - 9
Let us now substitute the value of y from the first equation to the second equation, we get
y = 6x - 9
- 3x = 6x - 9
-3x - 6x = - 9
- 9x = - 9
Multiplying both sides of the equation by -1 we get
9x = 9
x = 9/9
   = 1
Now let us put the value of x in the first equation, we get
y = - 3x
   = - (3 * 1)
   = - 3

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-4x - 6 = -5y + 9 y=

xxMikexx [17]

Answer:

y =4/5x + 3

Step-by-step explanation:

−4x−6=−5y+9

Step 1: Flip the equation.

−5y+9=−4x−6

Step 2: Add -9 to both sides.

−5y+9+−9=−4x−6+−9

−5y=−4x−15

Step 3: Divide both sides by -5.

−5y/−5

−4x−15/−5

4/5x+3

Answer:

4/5x+3

5 0

4 years ago

Read 2 more answers

At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amou

STALIN [3.7K]

Answer:

Cost of each item bought by Spongebob $=x=\$3.75$

Cost of items bought by Spongebob = $3x=3(3.75)=\$11.25$

Cost of each item bought by Patrick $=x-1.50=3.75-1.50=\$2.25$

Cost of items bought by Patrick = $5(x-1.50)=5(3.75-1.50)=\$11.25$

Step-by-step explanation:

Let $x$ denotes cost of each item bought by Spongebob.

Number of items bought by Spongebob = 3

So,

Cost of items bought by Spongebob = $3x$

Cost of each item bought by Patrick = $x-1.50$

Number of items bought by Patrick = 5

Cost of items bought by Patrick = $5(x-1.50)$

Both Spongebob and Patrick paid the same amount of money.

So,

$3x=5(x-1.50)\\3x=5x-7.5\\5x-3x=7.5\\2x=7.5\\x=\frac{7.5}{2} \\x=3.75$

So,

Cost of each item bought by Spongebob $=x=\$3.75$

Cost of items bought by Spongebob = $3x=3(3.75)=\$11.25$

Cost of each item bought by Patrick $=x-1.50=3.75-1.50=\$2.25$

Cost of items bought by Patrick = $5(x-1.50)=5(3.75-1.50)=\$11.25$

6 0

3 years ago

What is the area of a regular hexagon with a side length of 12 cm?

FromTheMoon [43]

300 is the answer
(I hope it is correct)

3 0

4 years ago

Drag each expression to show whether it can be used to find the surface area, volume or neither

Brut [27]

Answer:

Surface area:

$2(12\times 6) + 2(6 \times 8) + 2(8 \times 12)$

$2((12\times 6) + (6 \times 8) + (8 \times 12)$

Volume :

$(12 \times 6 \times 8)$

Neither:

$8(12 \times 6)$

$2(12 \times 6 \times 8)$

$12+6+8$

Step-by-step explanation:

Surface area of the cuboid:

The Surface area of the cuboid = 2(lb) +2(bh) +2(hl)

Where

l =length of the cuboid

b = Breadth of the cuboid

h = height of the cuboid

So ,

The surface area will be

SA = $2(12\times 6) + 2(6 \times 8) + 2(8 \times 12)$

SA = $2((12\times 6) + (6 \times 8) + (8 \times 12))$

SA = $2(72+48+98)$

SA = $2(216)$

SA = 432

Volumes of the cuboid:

$Volume = length \times breadth \times height$

Volume = $(12 \times 6 \times 8)$

volume = 576

4 0

4 years ago

Given points A(6,4),B(-2,1)and C(5,0), graph triangle ABC and its reflection image across each line. The x-axis

Serhud [2]

The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>

<em />

Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).

The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).

Find out more on reflection at: brainly.com/question/14062035

5 0

2 years ago

Read 2 more answers