Question

SOC
34. Draw the graphs of the equations 2x + 3y = -5 and x + y = -1 on the same pair of axes.
Find the coordinates of the point of intersection of the two lines.​

Answer 1

Explanation:

Answer:

\large{\underline{\underline{{\sf{\purple{Given \:Equations:-}}}}}}

GivenEquations:−

➨ 2x + 3y = -5

➨ x + y = -1

━━━━━━━━━━━━━━━━━━━━━

Putting the value of x = 0 in equation 2x + 3y = -5 :-

➨ 2(0) + 3y + 5 = 0

➨ y = \dfrac{-5}{3}

3

−5

⚘ The Coordinates are ( 0 , \frac{-5}{3}

3

−5

)

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Putting value of y = 0 in equation 2x + 3y = -5 :-

➨ 2x + 3(0) + 5 = 0

➨ x = \dfrac{-5}{2}

2

−5

⚘ Their Coordinates are ( \frac{-5}{2}

2

−5

,0)

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Putting the value of x = 0 in equation x + y = -1 :-

➨ 0 + y + 1 = 0

➨ y = -1

⚘ Their Coordinates are ( 0 , -1 )

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Putting the value of y = 0 in equation x + y = -1 :-

➨ x + 0 + 1 = 0

➨ x = -1

⚘ Their Coordinates are ( -1 , 0 )

Both lines intersect at a point (2 , -3).

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Answer 2

2x + 3y = -5

x + y = -1

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Putting the value of x = 0 in equation 2x + 3y = -5 :-

2(0) + 3y + 5 = 0

y = -5/3

The Coordinates are ( 0 ,-5/3 )

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Put value of y = 0 in equation 2x + 3y = -5

2x + 3(0) + 5 = 0

x = -5/2

Their Coordinates are (-5/2 ,0)

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Put the value x = 0 in equation x + y = -1

0 + y + 1 = 0

y = -1

Their Coordinates are ( 0 , -1 )

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

put the value y = 0 in equation x + y = -1

x + 0 + 1 = 0

x = -1

Their Coordinates are ( -1 , 0 )

Both lines intersect at a point (2 , -3).

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hope it helps