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Y_Kistochka [10]
3 years ago
9

What is the solution of the system? {2x+y=15x−y=3 Enter your answer in the boxes.

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0

Answer:

(6,3)

Step-by-step explanation:

Have a good day!

bezimeni [28]3 years ago
4 0
Answer:
x = 6
y = 3

Explanation:
The second equation given is:
x - y = 3
This can be rewritten as:
x = y + 3 .........> I
The first given equation is:
2x + y = 15 ..........> II

Substitute with I in II and solve for y as follows:
2x + y = 15
2(y+3) + y = 15
2y + 6 + y = 15
3y = 15 - 6
3y = 9
y = 9/3 = 3

Now, substitute with the value of the y in I to get x as follows:
x = y + 3
x = 3 + 3 
x = 6

Hope this helps :)

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Diagram shows a cone and its axis of rotation which type of cross-section is formed when the cone is intersected by a plane cont
MAXImum [283]

Answer:

The cross section will be an isosceles triangle

Step-by-step explanation:

The picture of the question in the attached figure N 1

we know that

If a plane passes through the axis of rotation of the cone, then the resultant cross-section will be a triangle with one vertex as the vertex of the cone and the two sides of the triangle through the vertex A will be equal.

Where the base of the triangle will be equal to the diameter of the circular base of cone and the two congruent sides of triangle will be equal to the slant height of the cone

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3 years ago
Solve for x. <br> 2(x-2)= 6x + 2 -2(-2x - 4)
Lena [83]

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Step-by-step explanation:

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Open brackets

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4 0
3 years ago
Judy simplified the expression (3x + 1)(x – 3) – (2 – 2x2 – 3x). What is the constant term in the simplified expression?
andrey2020 [161]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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Novay_Z [31]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Schach [20]

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

\sin(Z) = \dfrac{XY}{XZ}

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So, the ratio for the sine is

\sin(Z) = \dfrac{XY}{XZ} = \dfrac{24}{40} = \dfrac{3}{5}

6 0
2 years ago
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