Question

2x-y=3 x=-2y-1 substitution method

Answer 1

Answer:

x is 1 and y is -1 .

Step-by-step explanation:

We have to solve these equations by Substitution method .

We have equations,

• 2x - y = 3

• x = - 2y - 1

Let,

• x = -2y - 1 ---(1)

• 2x - y = 3 --- (2)

Put value of x in equation (2) means put equation (1) in equation (2) :

$\implies$ 2x - y = 3 ---(2)

• x = -2y - 1 by equation (1).

$\implies$ 2 × (-2y - 1) - y = 3

$\implies$ -4y - 2 - y = 3

$\implies$ -5y - 2 = 3

$\implies$ -5y = 3 + 2

$\implies$ -5y = 5

$\implies$ y = -(5/5)

$\implies$ y = -1

Value of y is -1 .

Now,

For value of x put value of y in any equation.

$\implies$ x = -2y - 1 ---(1)

• y = -1 as we find above.

$\implies$ x = -2 × (-1) - 1

$\implies$ x = 2 - 1

$\implies$ x = 1

Value of x is 1 .

For verification :

Put value of x and y in any equation.

$\implies$ 2x - y = 3 ---(2)

• Put x = 1 and y = -1.

$\implies$ 2 × (1) - (-1) = 3

$\implies$ 2 + 1 = 3

$\implies$ 3 = 3

Hence, Verified!!

Therefore,

Value of x is 1 and y is -1.

Answer 2

Refer the given attachment