Math, asked by ashreya148, 1 year ago

Show system of equation3x-5y=7,
6x-10y=3 is inconsistent

Answers

Answered by saivivek16
34

Step-by-step explanation:

Hola

3x-5y=7--->1

6x-10y=3--->2

Multiple eq 1 with 2

Such that,

6x-10y=14

Now,

substrat 1 from 2

6x-10y=14

-(6x-10y=3)

--------------

12x=3

X=3/12

X=⅓

Sub X value in any equation,

6(⅓)-10y=3

2-10y=3

-10y=3/2

-y=3/2/10

-y=3/20

y=-3/20

Thank you

# Astro

Answered by qwstoke
5

Given:

The given system of equations is 3 x − 5 y − 7 = 0 and 6 x − 10 y − 3 = 0

To find:

To show that the given system of equations is inconsistent

Solution:

The given equations are of the form,

a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0

where,

a₁ = 3, b₁ = -5, c₁ = -7 and a₂ = 6, b₂ = -10, c₂ = -3

\frac{a_{1} }{a_{2} } =  \frac{3}{6} = \frac{1}{2}  ----------------------------> (1)

\frac{b_{1} }{b_{2} } =  \frac{-5}{-10} = \frac{5}{10}  = \frac{1}{2}  ------------------> (2)

\frac{c_{1} }{c_{2} } =  \frac{-7}{-3} = \frac{7}{3}  ---------------------------> (3)

From (1), (2), and (3), we can see that

\frac{a_{1} }{a_{2} } =  \frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }

Hence the given system of equations has no solution.

∴ This set of equations are set to be inconsistent.

#SPJ3

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