x + y = 6. 2x - y = 3. The system of equations. . . a.has no solution. b.has one solution. c.is coincident
x + y = 6
2x - y = 3
3x = 9
x = 3
y = 3
b) One solution is right answer
Answer:
The answer is the option B
The system has one solution
Step-by-step 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