Question

13. Express y in terms of x in the equation 2 x - 3 y = 12. Find the points where the line

represented by the equations 2x - 3y = 12 cuts the X-axis and Y-axis.​

Answer 1

Answer:

y = -12-2x/3

for y axis x=0 y = -4

at (0,-4) given linear equation in two variables cuts y axis

for x axis y=0, x=6

at (6,0) given linear equation in two variables cuts x axis.

Answer 2

Step-by-step explanation:

given, equation 2x - 3y = 12

=> 3y = 2x - 12

=> y = (2x - 12) / 3

=> y = 2x/3 - 4 ------------ (1)

If x = 0 , then y = 2x/3 - 4 => y = - 4

If y = 0 , then 0 = 2x/3 - 4 => 2x/3 = 0+4

=> 2x/3 = 4 => x = 12/2 => x = 6

.•. points where the line represented by the equation 2x - 3y = 12 cuts the X-axis at (6,0) and Y-axis at (0,-4)