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alexdok [17]
3 years ago
5

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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Answer:

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Step-by-step explanation:

Simplifying

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Reorder the terms for easier multiplication:

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Multiply (20 + -2x) * (15 + -2x)

V = x(20(15 + -2x) + -2x * (15 + -2x))

V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))

V = x((300 + -40x) + -2x * (15 + -2x))

V = x(300 + -40x + (15 * -2x + -2x * -2x))

V = x(300 + -40x + (-30x + 4x2))

Combine like terms: -40x + -30x = -70x

V = x(300 + -70x + 4x2)

V = (300 * x + -70x * x + 4x2 * x)

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Solving

V = 300x + -70x2 + 4x3

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Move all terms containing V to the left, all other terms to the right.

Simplifying

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A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out th
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Read 2 more answers
Solve the equation -10X +1 + 7X = 37
Leya [2.2K]

Answer:

X = -12

Step-by-step explanation:

-10X + 1 +7X = 37

-10X + 7X + 1 = 37  {Add the like terms}

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\frac{-3x}{-3}=\frac{36}{-3}\\\\

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