The system has one solution i.e., (0,1).
Step-by-step explanation:
Given : The system of equations Â
and ![2y-x=2](/tpl/images/0416/9962/a21ad.png)
To find : The system shown has _____ solution(s)?
Solution :
We solve the  system of equations by substitution method,
Let
.....(1)
......(2)
Substitute the value of y of equation (1) into (2)
![2y-x=2](/tpl/images/0416/9962/a21ad.png)
![2(x+1)-x=2](/tpl/images/0416/9962/dc3ee.png)
![2x+2-x=2](/tpl/images/0416/9962/20163.png)
![x=0](/tpl/images/0416/9962/37eb6.png)
Substitute in equation (1)
![y=x+1](/tpl/images/0416/9962/49f5e.png)
![y=0+1](/tpl/images/0416/9962/b3567.png)
![y=1](/tpl/images/0416/9962/bbf91.png)
Therefore, The system has one solution i.e., (0,1).