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3 years ago

Solving by substitution 2x-5y=10 ; x-2y=14

Mathematics

1 answer:

never [62]3 years ago

4 0

Answer:

The solution of the given system of equation is x = 50, y =18

Step-by-step explanation:

Here, the given system of equations are:

2x - 5y = 10 , x - 2y = 14

Now, from equation (2), we get x = 14 + 2y

SUBSTITUTE this value of y in the given equation (1)

We get: 2x - 5y = 10 ⇒ 2(14 + 2y) - 5y = 10

or, 28 + 4y - 5y = 10

⇒ 28 - y = 10

or y = 28 - 10 = 18

⇒ y = 18

Now, if y = 18, SUBSTITUTE this value of y in x = 14 + 2y

⇒ x = 14 + 2<u>y</u> = 14 + 2(<u>18</u>) = 14 + 36 = 50

Hence, the solution of the given system of equation is x = 50, y =18

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3 years ago

What is the equation of the line that passes through the point (-8,0)and has a slope of -1/4

Dahasolnce [82]

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Step-by-step explanation:

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y = -1/4x + b

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3 years ago

RST has vertices R(0,0), S(10,5), and T(5,-5). R’S’T’ is the image of RST after a dilation with center (0,0) and scale factor 1/

AysviL [449]

The coordinates of the point S' is (2,1)

Explanation:

Given that the RST has vertices R(0,0), S(10,5) and T(5,-5)

The image R'S'T' is the image of RST after a dilation with center (0,0) and scale factor $\frac{1}{5}$

We need to determine the coordinates of the point S'

The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor $\frac{1}{5}$

Let us consider the x - coordinate of the point S and multiply it with the scale factor $\frac{1}{5}$

Thus, we have,

x - coordinate of the point S' is given by

$10 \times \frac{1}{5}=2$

Thus, the x - coordinate of the point S' is 2

Similarly, the y - coordinate of the point S' can be determined by multiplying the point S with the scale factor $\frac{1}{5}$

Thus, we have,

The y - coordinate of the point S' is given by

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3 years ago

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