Question

2x-3y=0

4x + 6y = 4

which of the following is the solution to this system?
(a) ; (3,2)
(b) ; 1/2 , 1/3 )
(c) ; all the points on the line 2x-3y=0
(d) ; there is no solution

pick one please, thank you !

Answer 1

Option b (1/2,1/3)

Explanation:

we have

2x-3y=0 ------> equation A

4x+6y=4 -----> equation B

Solve the system by elimination

Multiply equation A by 2 both sides

2(2x-3y)=2(0)

4x-6y=0 ------> equation C

Adds eqution B and equation C

4x+6y=4

4x-6y=0

-------------

4x+4x=4+0

8x=4

x=1/2

Find the value of y

2x-3y=0

2(1/2)-3y=0

1-3y=0

3y=1

y=1/3

the solution is the point (1/2,1/3)