Question

The system shown has _____ solution(s).

Answer 1

This system has one solution. Here are my steps to solving this problem:

y=x+1

2(x+1) - x = 2

2x +2 - x = 2

2x - x + 2 = 2

x + 2 = 2
    - 2  - 2
----------------
x = 0

y = 0 + 1
y = 1 

I hope this helps you!

Answer 2

Answer:

The system has one solution i.e., (0,1).

Step-by-step explanation:

Given : The system of equations  $y=x+1$ and $2y-x=2$

To find : The system shown has _____ solution(s)?

Solution :

We solve the  system of equations by substitution method,

Let $y=x+1$ .....(1)

$2y-x=2$ ......(2)

Substitute the value of y of equation (1) into (2)

$2y-x=2$

$2(x+1)-x=2$

$2x+2-x=2$

$x=0$

Substitute in equation (1)

$y=x+1$

$y=0+1$

$y=1$

Therefore, The system has one solution i.e., (0,1).