Question

determine the coordinates of the point on the graph 5x-y=12,whose
a ordinates is twice that of the absicca
b absicca and ordinates are in the ratio 2:3 ​

Answer 1

Answer:

a.

given y=2x (ordinate= 2×absicca)

substitute in the given equation

5x-y=12

5x-2x=12

3x=12

x=4

so y=8(since y=2x)

answer=(4,8)

b.

given 3x=2y( absicca / ordiante=2/3)

y=1.5x

substitute in 5x-y=12

5x-1.5x=12

3.5x=12

x=12×2/7

x=24/7

y=1.5x=36/7

answer=(24/7,36/7)