Question

ख) प्रतिस्थापन विधि द्वारा हल कीजिए-
x-y=2; 4x + 7y = 30 Translate into English Please
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Answer 1

Step-by-step explanation:

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

4x+7y=30...........(2)

multiply equation (1) by 7

7x-7y=14..............(3)

adding (2) and (3)

7x-7y=14

4x+7y=30

+________

11x=44

x=44/11

x=4

put x=4 in eqation (1)

x-y=2

4-y=2

y=2

x=4 y=2

Answer 2

The values of x and y are 4 and 2 respectively.

• A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.
• The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfil the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

Here, according to the given information, we are given that,

The equations are,

$x-y=2.\\4x+7y=30.$

Now, we need to solve the two equations with the help of substitution method.

Now, from the first equation, we get,

$x=y+2.$

Now, substituting the value of x in the second equation, we get,

$4(y+2) +7y=30.$

Or, $4y+7y+8 = 30.$

Or, $11y = 22.$

Or, $y = 2.$

Now, substituting this value in $x=y+2,$ we get,

$x = 2+2 = 4.$

Hence, the values of x and y are 4 and 2 respectively.

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