Question

what are the coordinates of the point of intersection of the lines x+3y =7 and 2x+y = -1

Answer 1

Given,

Two lines x+3y=7 and 2x+y=-1

To Find,

Coordinates of point of intersection of these two lines.

Solution,

By using the elimination method,

x+3y=7

multiplying the above equation by 2

2x+6y=14

2x+y=-1

Now, subtracting the ab the above two equations

5y = 15

y=3

Substituting the value of y in the first equation

x+9=7

x=-2

Hence, the coordinates of the point of intersection of the given two lines is (-2,3).

Answer 2

The coordinates of the point of intersection of the lines x + 3y = 7 and 2x + y = - are (- 2, 3).

Step-by-step explanation:

The given lines are

x + 3y = 7 ... ... (1)

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

• In order to find the intersection of the givee lines, we solve the two equations using Substitution Method.

From (1), we get

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

and substituting this in (2), we get

2 (7 - 3y) + y = - 1

⇒ 14 - 6y + y = - 1

⇒ 5y = 15

⇒ y = 3

Putting y = 3 in (3), we get

x = 7 - 3 (3)

⇒ x = 7 - 9

⇒ x = - 2

So, the required point of intersection is (- 2, 3).

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