What is the solution for y=4x-3 and y=1/3x+2

y = 4x -3

y = 1/3x+2

you can solve by substitution or elimination but i prefer elimination.

Substitution:

4x - 3 = 1/3x+2

11/3x = 5

x = 15/11

now plug in x to find y

y = 4(15/11) - 3 = 27/11

solution: (15/11 , 27/11)

Elimination:

you'll have to rearrange the equations

y = 4x -3       ---> -4x + y = -3

y = 1/3x+2     ---> -1/3x + y = 2

now subtract both equations you'll get:

-11/3x = -5

x = 15/11

now plug in x to find y

y = 4(15/11) - 3 = 27/11

solution: (15/11 , 27/11)

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

ljn

step-by-step explanation: