Question

Which of the following points is a solution to the system of equations shown?

y - x = -1

x + y = -5

Answer 1

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`\quad \qquad \huge \bf \dag \: Answer \: \dag`

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`\underline{ \large \rm Solution} :`

`\rm Given :`

Two equations are -

• y - x = -1 (i)

• x + y = -5 (ii)

`\rm Procedure :`

Considering the equations as (i) and (ii) respectively

From equation (i) -

• y = x - 1

put this value of y in equation (ii) -

• x + y = -5

• x + x - 1 = -5

• 2x = -5 + 1

• 2x = -4

• x = -2

Next thing to do would be to put value of x we got in equation (i) to get y

• y - x = -1

• y - (-2) = -1

• y + 3 = -1

• y = -1 - 3

• y = -4

Values asked are :

`\rightarrow \rm y = - 4`

`\rightarrow \rm x= - 2`

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`\large \bf hope \: \: it \: \: helps \: - dabI`

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