Question

3x - 5 = -1
x-y =-1
solve by substitution method​

Answer 1

$\bold{\huge{\underline{\underline{\rm{ Given :}}}}}$

3x - 5y = -1 ------(i)

x - y = -1 ----------(ii)

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$\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$

The value of x and y by substitution Method.

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$\huge{\underline{\underline{\purple{♡Solution→}}}}$

By polynomial (ii) -

x - y = -1

y = (x + 1)-------(iii)

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Substitute the value of y into polynomial (i) -

=> 3x - 5y = -1

=> 3x - 5 × (x + 1) = - 1

=> 3x - 5x - 5 = -1

=> - 2x = -1 + 5

=> - 2x = 4

=> x = 4/(-2)

=> x = -2

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Now substitute tha valu of x into polynomial (iii) -

=> y = x + 1

=> y = -2 + 1

=> y = -1

$\rule{200}{1}$

Thus , Tha values of x and y are -2 and -1

$\rule{200}{1}$

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Answer 2

let x-y=-1 is eq (ii) x3

so 3x-5y= -1

- 3x- 3y= -3

____________

-2y= 2

y= -1

by eq (i)

putting the value y in eq (i)

3x-5y=-1

=. 3x+5*1=-1

=. 3x+5=-1

=. 3x=-6

=. X= -2

x=-2 and y= -1