Question

Express x in terms of y in equation 2x-3y=12.find the co-ordinates where line represented by this equation intersects the axes.​

Answer 1

Answer:

(2x-12)/3

Step-by-step explanation:

2x-3y=12

2x-12=3y

(2x-12)/3=y

Answer 2

answer wil be

y = -4

Step 1:  

Given equation is 2x-3y=12

Lines cuts by both x-axis and y –axis

Step 2:

y can be expressed in terms of x as,

2x-3y=12

=2x-12=3y

y=  2/3x-4

Step 3:

the points where this line cuts the x-axis and y-axis can be found as,

put y=0 in 2x-3y=12

=2x-3(0)=12

2x-0=12

X=6

Step 4:

Put x=0 in 2x-3y=12

Then 2(0)-3y=12

0-3y=12

-3y=12

Y= -4

Result:

Thus the points of both x-axis and y axis is (6,0) and  (0,-4)