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

Given Equation

2x + 3y = - 5 (i)

x + y = -1 (ii)

Now Take (i)

2x + 3y = - 5

When x = 0

2(0) + 3y = -5

0 + 3y = -5

3y = -5

y = -5/3

We get point (0,-5/3)

when y = 0

2x + 3y = -5

2x + 3(0) = -5

2x + 0 = -5

2x = -5

x = -5/2

we get point (-5/2 , 0)

Now Take

x + y = -1 (ii)

when x = 0

x + y = -1

0 + y = -1

y = -1

We get point (0,-1)

when y = 0

x + y = -1

x + 0 = -1

x = -1

we get point (-1,0)

Answer

Point of intersection (2,-3)

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 )

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

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

2x + 3(0) + 5 = 0

x = -5/2

Their Coordinates are (-5/2 ,0)

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

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).

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

hope it helps