What is the solution of this system of linear equations?
3y = x + 6
y – x = 3

x=  −3 /2  and y=  3 /2

Step-by-step explanation:

x=  −3 /2  and y=  3 /2  because

3y=x+6

3y+−x=x+6+−x(Add -x to both sides)

−x+3y=6

−x+3y+−3y=6+−3y(Add -3y to both sides)

−x=−3y+6

−x /−1  =  −3y+6 /−1

(Divide both sides by -1)

x=3y−6

Step: Substitute3y−6forxin−x+y=3:

−x+y=3

−(3y−6)+y=3

−2y+6=3(Simplify both sides of the equation)

−2y+6+−6=3+−6(Add -6 to both sides)

−2y=−3

−2y/−2 = −3/−2

(Divide both sides by -2)

y=3 /2

Step: Substitute

3

2

foryinx=3y−6:

x=3y−6

x=3( 3 /2)−6

x = −3/2

(Simplify both sides of the equation)

Therefore the answer is

x=  −3 /2  and y=  3 /2

I hope this helped you.

you can't solve x because it is 2 linear equation and you only have one equation

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 )