If y - x -1 and 2 x - y -4 then- using substitution method find the value of x and y-A- x-1 and y-2B- x-2 and y-1C- x -1 and y -1D- x-2 and y-2

The correct option is A x = 1 and y = 2Given that, nbsp; y = x + 1....(1) nbsp; and 2x + y = 4......(2) Now, nbsp; On substituting nbsp;(1) in (2), w ...

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Standard IX

Mathematics

Solving Equations Using Method of Substitution

If y = x +1 a...

Question

If y = x + 1 and 2x + y = 4 then, using substitution method find the value of x and y.

x = 1 and y = 2

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x = 2 and y = 1

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x = 1 and y = 1

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x = 2 and y = 2

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Solution

The correct option is A x = 1 and y = 2
Given that,
y = x + 1....(1) and 2x + y = 4......(2)

Now,
On substituting (1) in (2),
we get
2x + x + 1 = 4
3x = 3
$\Rightarrow$ x = 1

Similarly, substituting x = 1 in the equation (1),
we get y = 2.

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If y = x + 1 and 2x + y = 4 then, using substitution method find the value of x and y.

The correct option is A x = 1 and y = 2Given that, y = x + 1....(1) and 2x + y = 4......(2) Now, On substituting (1) in (2), we get 2x + x + 1 = 4 3x = 3 ⇒ x = 1 Similarly, substituting x = 1 in the equation (1), we get y = 2.

The correct option is A x = 1 and y = 2
Given that,
y = x + 1....(1) and 2x + y = 4......(2)

Now,
On substituting (1) in (2),
we get
2x + x + 1 = 4
3x = 3
$\Rightarrow$ x = 1

Similarly, substituting x = 1 in the equation (1),
we get y = 2.