Question

2x+y=-2
3x-y=7
substitution method
​

Answer 1

Given -

2x+y=-2 and

3x-y=7

To find -

The value of x and y

Solution -

${}$

$2x + y = - 2$

$\sf \: y = - 2 - 2x \: \: \: .1)$

$\sf3x - y = 7$

$\sf3x - 7 = y$

$\sf3x - 7 = - 2 - 2x(by \: 1)$

$\sf \: 3x + 2x = - 2 + 7$

$\sf5x = 5$

$\sf \: x = \frac{5}{5}$

$\sf \: x = 1$

Now,

Substituting the value of x in equation 1) we will get -

${}$

$\sf \: y = - 2 - 2 \times 1$

$\sf \: y = - 2 - 2$

$\sf \: y = - 4$

Therefore the value of x is 1 and y is - 4

Answer 2

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EXPLANATION

equation are given

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

2x - y = -2 ...(2)

TO FIND VALUE OF X AND Y.

substitute equation (2) we get,

2x + 2 = y....(3)

put equation (3) in equation (1)

we get,

3x - ( 2x + 2 ) = -1

3x - 2x - 2 = -1

x - 2 = -1

x = -1 +2

x = 1

put x = 1 in equation (3)

we get,

2x + 2 = y

2(1) + 2 = y

2 + 2 = y

y = 4

Therefore, value of x = 1 and y = 4