Question

Use graph paper for this question. Draw the graph of 3x - 2y = 5 and 2x = 3y on
the same axes. Use 2cm = 1 unit on the both the axes and plot only 3 points per
line. Write down the co-ordinates of the point of intersection of the two lines.
Also find the area of the triangle formed by the lines and the y-axis.
WHO WILL SOLVE FIRST I WILL MAKE HIM BRAINLIEST​

Answer 1

ANSWER : Point of intersection of the 2 lines is ( 3,2 ) and the area of the triangle formed by the lines and the Y-axis is 3.75 squared units/ 15 cm square.

EXPLENATION:

See the attachments for the explanation.

NOTE:

I have calculated the are in squared UNITS but you can also calculate in cm square as it is given in the question that 2cm = 1 unit.

Then the area of the triangle would be

1/2 x 5 x 6

= 15 cm square. ( since 2 cm = 1 unit)

Hence area of the triangle is 3.75 unit^2 or 15 cm^2 ( both are the same, Just different units)

Answer 2

Answer:

Solutions: 3x-2y=5

3x=5+2y

=>3x-5=2y

=>3x-5/2=y

=>y=3x-5/2/

y=3x-5/2

y=3(3)-5/2

=9-5/2

=2

y=3x-5/2

y=3(5)-5/2

=15-5

=10/2@5

y=3x-5/2

y=3(-3)-5/2

= -9-5/2

=-7

2x=3y

x=3y/2

x=3y/2

=3(2)/2

=4.5

Ar∆=1/2*BC*AD

=1/2*2.5*3

=1/2*25/10*3

=3.7554 cm

The point of intersection of the lines is ( x,y)=(3,2)