Question

solve 3x-5y=-1,x-y=-1 by using substitution method

Answer 1

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The given system of equation :-

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

x - y = -1 ---------- (2)

Solving this by substitution method.

From (2) we get :-

y = x + 1

Substitute  y = x + 1 in (1) we get :-

3x - 5 ( x + 1 ) = - 1

-2x - 5 = -1

-2x = 4

x = -2

Put x = - 2 in y = x + 1 we get :-

y = -1

At last final Solution of the given system of equations :-

x = -2

And

y = -1

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Answer 2

Answer:

Step-by-step explanation:

Solution :-

Here, we have

the given equations are

⇒ 3x - 5y = - 1 ... (i)

⇒ x - y = - 1 .... (ii)

From (ii), we get

⇒ y = x + 1 ..... (iii)

Putting y's value in eq (i), we get

⇒ 3x - 5(x + 1) = - 1

⇒ - 2x - 5 = - 1

⇒ - 2x = 4

⇒ x = 4/- 2

⇒ x = - 2

Putting x's value in Eq (iii), we get

⇒ y = x + 1

⇒ y = - 2 + 1

⇒ y = - 1

Here, x = - 2 and y = - 1

Hence, the solution of the given system of equation is x = - 2, y = - 1.