Question

x + y = 6. 2x - y = 3. The system of equations. . . a.has no solution. b.has one solution. c.is coincident

Answer 1

x + y = 6
2x - y = 3
3x = 9
x = 3
y = 3

b) One solution is right answer

Answer 2

The answer is the option B

The system has one solution

Explanation:

we have

`x+y=6` ------> equation A

`2x-y=3` ------> equation B

Adds equation A and equation B

`x+y=6\\2x-y=3\\-------\\2x+x=6+3\\3x=9\\x=3`

Find the value of y

Substitute the value of x in equation A or equation B

`3+y=6`

`y=3`

therefore

The system has one solution