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liq [111]
3 years ago
12

Determine if the following equation is an identity equation, a conditional equation, or an inconsistent equation. −4x−6x−23=−10−

10x−9
Mathematics
1 answer:
postnew [5]3 years ago
4 0

The given equation is inconsistent equation.

Step-by-step explanation:

Lets define all three types of equations first

<u>Identity Equation:</u>

An equation is called identity equation when it is true for all values of variable involved.

<u>Conditional equation:</u>

Conditional equation is an equation which only true for some values.

<u>Inconsistent Equation:</u>

When the variable is unknown, the equation is called inconsistent equation.

The given equation is:

-4x-6x-23=-10-10x-9

Solving the equation

-10x-23 = -19-10x\\-23 = -19

In the given equation, the variable has become unknown so the given equation is an inconsistent equation

Keywords: Linear equation, variables

Learn more about linear equation at:

  • brainly.com/question/100704
  • brainly.com/question/101683

#LearnwithBrainly

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

3 0
3 years ago
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earnstyle [38]

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Hope this helps!

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3 years ago
Solve the Differential equation (x^2 + y^2) dx + (x^2 - xy) dy = 0
natita [175]

Answer:

\frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

Step-by-step explanation:

Given differential equation,

(x^2 + y^2) dx + (x^2 - xy) dy = 0

\implies \frac{dy}{dx}=-\frac{x^2 + y^2}{x^2 - xy}----(1)

Let y = vx

Differentiating with respect to x,

\frac{dy}{dx}=v+x\frac{dv}{dx}

From equation (1),

v+x\frac{dv}{dx}=-\frac{x^2 + (vx)^2}{x^2 - x(vx)}

v+x\frac{dv}{dx}=-\frac{x^2 + v^2x^2}{x^2 - vx^2}

v+x\frac{dv}{dx}=-\frac{1 + v^2}{1 - v}

v+x\frac{dv}{dx}=\frac{1 + v^2}{v-1}

x\frac{dv}{dx}=\frac{1 + v^2}{v-1}-v

x\frac{dv}{dx}=\frac{1 + v^2-v^2+v}{v-1}

x\frac{dv}{dx}=\frac{v+1}{v-1}

\frac{v-1}{v+1}dv=\frac{1}{x}dx

Integrating both sides,

\int{\frac{v-1}{v+1}}dv=\int{\frac{1}{x}}dx

\int{\frac{v-1+1-1}{v+1}}dv=lnx + C

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v-2ln(v+1)=lnx+C

Now, y = vx ⇒ v = y/x

\implies \frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

5 0
3 years ago
The sum of two numbers is 24 and their difference is 2?
mote1985 [20]
X + y = 24
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Adding both equations
2x = 26
x = 13
y = 11

7 0
3 years ago
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