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Nimfa-mama [501]
3 years ago
6

Solve by the linear combination method (with or without multiplication).

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

The first step is to name the equations to make the process of solving them easy.

6x+7y=-4....(1)\\5x-3y=-21....(2)

The second step is to multiply  each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation  (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).

-30x-35y=20...(3)\\30x-18y=-126...(4).

The next step is to add equation equation(3) and  (4) together to get equation (5) as shown below;

-53y=-106....(5)\\=> y= 2.

The next step is to take the value of y and substitute it into any of the equations above.  For this solution, I pick equation (1). The work done to solve for x is shown below.;

6x+7y=-4\\=>6x+7(2)=-4\\=>6x=-18\\=>x=-3

The solution for this system of equations is (-3,2)


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Solnce55 [7]
Set the two expressions equal to each other.

7x + 3 = 9x

Simplify, isolate the x, subtract 7x from both sides

7x (-7x) + 3 = 9x (-7x)
3 = 2x

Set the equation = 0, subtract 3 from both sides

3 (-3) = 2x (-3)

0 = 2x - 3

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hope this helps
8 0
2 years ago
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th
Darina [25.2K]

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
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7 0
3 years ago
Read 2 more answers
PLEASE HURRY!!!<br> What is the slope of the line in the graph?
Anastasy [175]

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select two points on the line

(-4,4)

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8 0
3 years ago
X^2 + 1/4 or 7 or 7/2 x + 49
wolverine [178]

Answer:

14

Step-by-step explanation:

Squaring a number (a+b) for example is a^2+2ab+b^2. So you square root x^2 and 49, you get x and seven respectively. you multiply them together and on top of that multiply the product by 2. so 7x*2 is 14x and ye

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3 years ago
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Given:

The given equation is:

16-3p=\dfrac{2}{3}p+5

To find:

The value of p.

Solution:

We have,

16-3p=\dfrac{2}{3}p+5

Multiply both sides by 3.

3(16-3p)=3\left(\dfrac{2}{3}p+5\right)

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Isolating the variable terms, we get

48-15=2p+9p

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Divide both sides by 11, we get

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